Exhibit 1.3

Execution Version

AMENDMENT NO. 2 TO

EQUITY SALES AGREEMENT

This Amendment No. 2 (this “Amendment”) to the Sales Agreement (as defined below) is entered into as of February 16, 2024 (the “Effective Date”) by LXP Industrial Trust, a Maryland real estate investment trust (formerly known as Lexington Realty Trust) (the “Company”), and Jefferies LLC, KeyBanc Capital Markets Inc., Regions Securities LLC, BofA Securities, Inc., Mizuho Securities USA LLC, and Evercore Group L.L.C., each as sales agent, principal and/or forward seller (in such capacity, each a “Selling Agent,” and together, the “Selling Agents”), and Bank of America, N.A., Jefferies LLC, KeyBanc Capital Markets Inc., Mizuho Markets Americas LLC and Regions Securities LLC, each as forward purchaser (in such capacity, each a “Forward Purchaser,” and together, the “Forward Purchasers”), in order to amend that certain Equity Sales Agreement, dated as of November 27, 2019, as amended on February 19, 2021 (the “Sales Agreement”).

WHEREAS, pursuant to the Sales Agreement, the Company has implemented an at-the-market offering program (the “ATM Program”) under which the Company may issue up to $350,000,000 of shares of beneficial interest of the Company, classified as common stock, par value $0.0001 per share (“the Securities”) over the term of the ATM Program;

WHEREAS, prior to the date of this Amendment, the Company conducted the ATM Program pursuant to an automatic shelf registration statement on Form S-3ASR (File No. 333-253297), including a base prospectus dated February 19, 2021 and a prospectus supplement dated February 19, 2021, specifically relating to the Securities;

WHEREAS, the Company has prepared a new automatic shelf registration statement on Form S-3ASR (File No. 333-277142), including a base prospectus dated February 16, 2024 and a prospectus supplement dated February 16, 2024, specifically relating to the Securities, and from the date of this Amendment, the ATM Program is to be conducted pursuant to the new automatic shelf registration statement and the related prospectus supplement; and

WHEREAS, prior to the Effective Date, the Company has sold $177,803,271 of the Securities with $294,984,839 remaining unissued and unsold under the ATM Program; and

WHEREAS, the Company intends to increase the amount of Securities that may be sold under the ATM Program by $55,015,161 for an aggregate $350,000,000 remaining unissued and unsold under the ATM Program.

The Company, the Selling Agents and the Forward Purchasers have agreed to modify the Sales Agreement, as set forth in this Amendment, subject to the terms and conditions set forth below.

AGREEMENT

NOW, THEREFORE, in consideration of the premises set forth above and other good and valuable consideration, the receipt and sufficiency of which is hereby acknowledged, the Company, the Selling Agents and the Forward Purchasers agree that the Sales Agreement and the Exhibits appended thereto are hereby modified as provided below:

Section 1. Definitions. Unless otherwise specified herein, capitalized terms used herein shall have the respective meetings assigned thereto in the Sales Agreement.

Section 2. Representation and Warranty. The Company represents and warrants to each Selling Agent and Forward Purchaser that this Amendment has been duly authorized, executed and delivered by, and is a valid and binding agreement of, the Company.

Section 3. Amendments to the Sales Agreement.

Regions Securities LLC
615 South College Street, Suite 600

Charlotte, NC 28202

Attention: ECM Desk

Email: ECMDesk@regions.com

Hogan Lovells US LLP
Columbia Square
555 Thirteenth Street, NW
Washington, DC 20004
Attention: Michael McTiernan
Email: michael.mctiernan@hoganlovells.com

Section 4. Entire Agreement. The Sales Agreement, as amended by this Amendment, represents the entire agreement between the Company, on the one hand, and each Selling Agent and Forward Purchaser, on the other hand, with respect to the subject matter thereof and hereof and supersede all prior and contemporaneous agreements, understandings, inducements and conditions, express or implied, oral or written, of any nature whatsoever with respect to the subject matter hereof. Except as set forth in this Amendment or as further amended hereby, all of the terms of the Sales Agreement shall remain in full force and effect and are hereby confirmed in all respects.

Section 5. Section Headings. The Section headings herein are for convenience only and shall not affect the construction hereof.

Section 6. Counterparts. This Amendment may be executed in any number of counterparts, each of which shall be deemed to be an original, but all such counterparts shall together constitute one and the same Amendment. Counterparts may be delivered via facsimile, electronic mail (including any electronic signature covered by the U.S. federal ESIGN Act of 2000, Uniform Electronic Transactions Act, the Electronic Signatures and Records Act or other applicable law, e.g., www.docusign.com) or other transmission method and any counterpart so delivered shall be deemed to have been duly and validly delivered and be valid and effective for all purposes.

[SIGNATURE PAGE FOLLOWS]

IN WITNESS WHEREOF, the undersigned have entered into this Amendment as of the date first written above.

Exhibit 5.1

Hogan Lovells US LLP Columbia Square 555 Thirteenth Street, NW Washington, DC 20004 T +1 202 637 5600 F +1 202 637 5910 www.hoganlovells.com

February 16, 2024

Board of Trustees

LXP Industrial Trust

One Penn Plaza

Suite 4015

New York, NY 10019-4015

To the addressee referred to above:

We are acting as counsel to LXP Industrial Trust, a Maryland real estate investment trust (the “Company”), in connection with the public offering of up to $350,000,000 in aggregate gross sales price of the Company’s common shares of beneficial interest, par value $0.0001 per share (the “Offered Shares”), all of which are to be offered and sold by the Company from time to time in accordance with the terms of the Equity Sales Agreement, dated as of November 27, 2019, as amended on February 19, 2021 and February 16, 2024, by and among the Company and each of the persons named on Schedule 1 and Schedule 2 attached hereto (the “Equity Sales Agreement”), which, among other things, contemplates that the Company may from time to time enter into one or more forward contracts with each of the persons named on Schedule 2 (the “Forward Contracts,” and together with the Equity Sales Agreement, the “Agreements”). Pursuant to the Forward Contracts, the Company may issue additional shares of beneficial interest (the “Forward Settlement Shares,” and together with the Offered Shares, the “Shares”), in settlement of the transactions contemplated by the Forward Contracts. The offering of the Shares by the Company is being made pursuant to a prospectus supplement dated February 16, 2024 (the “Prospectus Supplement”) and the accompanying base prospectus dated February 16, 2024 (together with Prospectus Supplement, collectively, the “Prospectus”) that form part of the Company’s effective registration statement on Form S-3, as amended (No. 333-277142) (the “Registration Statement”). This opinion letter is furnished to you at your request to enable you to fulfill the requirements of Item 601(b)(5) of Regulation S-K, 17 C.F.R. § 229.601(b)(5), in connection with the Registration Statement.

For purposes of this opinion letter, we have examined copies of such agreements, instruments and documents as we have deemed an appropriate basis on which to render the opinions hereinafter expressed. In our examination of the aforesaid documents, we have assumed the genuineness of all signatures, the legal capacity of all natural persons, the accuracy and completeness of all documents submitted to us, the authenticity of all original documents, and the conformity to authentic original documents of all documents submitted to us as copies (including pdfs). We also have assumed that the Offered Shares will not be issued in violation of the ownership limit contained in the Company’s Amended and Restated Declaration of Trust, as amended. As to all matters of fact, we have relied on the representations and statements of fact made in the documents so reviewed, and we have not independently established the facts so relied on.

Hogan Lovells US LLP is a limited liability partnership registered in the state of Delaware. “Hogan Lovells” is an international legal practice that includes Hogan Lovells US LLP and Hogan Lovells International LLP, with offices in: Alicante Amsterdam Baltimore Berlin Beijing Birmingham Boston Brussels Colorado Springs Denver Dubai Dusseldorf Frankfurt Hamburg Hanoi Ho Chi Minh City Hong Kong Houston Johannesburg London Los Angeles Luxembourg Madrid Mexico City Miami Milan Minneapolis Monterrey Munich New York Northern Virginia Paris Philadelphia Riyadh Rome San Francisco São Paulo Shanghai Silicon Valley Singapore Sydney Tokyo Warsaw Washington, D.C. Associated Offices: Budapest Jakarta Shanghai FTZ. Business Service Centers: Johannesburg Louisville. For more information see www.hoganlovells.com

This opinion letter is given, and all statements herein are made, in the context of the foregoing.

This opinion letter is based as to matters of law solely on the applicable provisions of Title 8 of the Corporations and Associations Article of the Annotated Code of Maryland, as amended. We express no opinion herein as to any other statutes, rules, or regulations.

Based upon, subject to and limited by the foregoing, we are of the opinion that following (i) execution and delivery by the Company of the Equity Sales Agreement, (ii) execution and delivery by the Company of each Forward Contract relating to any forward purchase pursuant to the Equity Sales Agreement in the form attached as Annex I to the Equity Sales Agreement, together with the relevant supplemental confirmation thereto (the “Supplemental Confirmation”), (iii) authorization by the Company’s Board of Trustees, or authorization by a duly authorized pricing committee thereof, within the limitations established by resolutions duly adopted by the Company’s Board of Trustees and duly authorized pricing committee thereof and in each case made available to us, of the terms pursuant to which the Shares may be sold pursuant to the Agreements, (iv) authorization by a duly authorized executive officer, designated by the pricing committee to approve instruction notices (each, an “Instruction Notice”) under the Agreements, of the terms of the applicable Instruction Notice and Supplemental Confirmation (if any) executed in a manner consistent with the foregoing and pursuant to which the Shares may be sold pursuant to the Agreements, (v) issuance of the Shares pursuant to the terms established by the Company’s Board of Trustees and the pricing committee thereof and the terms of the applicable Instruction Notice and Supplemental Confirmation (if any) and (vi) receipt by the Company of the proceeds for the Shares sold pursuant to such terms and such applicable Instruction Notice and Supplemental Confirmation (if any), the Shares will be validly issued, fully paid and non-assessable.

This opinion letter has been prepared for your use in connection with the filing by the Company of a Current Report on Form 8-K relating to the offer and sale of the Shares, which Form 8-K will be incorporated by reference into the Registration Statement and Prospectus, and speaks as of the date hereof. We assume no obligation to advise of any changes in the foregoing subsequent to the delivery of this letter.

We hereby consent to the filing of this opinion letter as Exhibit 5.1 to the above-described Form 8-K and to the reference to this firm under the caption “Legal Matters” in the Prospectus Supplement. In giving this consent, we do not thereby admit that we are an “expert” within the meaning of the Securities Act of 1933, as amended.

Very truly yours,

 /s/ HOGAN LOVELLS US LLP

HOGAN LOVELLS US LLP

Schedule 1

Schedule 2

Exhibit 5.2

Hogan Lovells US LLP Columbia Square 555 Thirteenth Street, NW Washington, DC 20004 T +1 202 637 5600 F +1 202 637 5910 www.hoganlovells.com

February 16, 2024

Board of Trustees

LXP Industrial Trust

One Penn Plaza

Suite 4015

New York, NY 10019-4015

To the addressee referred to above:

We are acting as counsel to LXP Industrial Trust, a Maryland real estate investment trust (the “Company”), in connection with the public offering of up to 5,000,000 of the Company’s common shares of beneficial interest, par value $0.0001 per share (the “Common Shares”), all of which Common Shares may be offered and sold by the Company from time to time in accordance with the Company’s Amended and Restated Dividend Reinvestment and Direct Share Purchase Plan (the “Plan”) as described in the prospectus supplement dated February 16, 2024 (the “Prospectus Supplement”) and the accompanying prospectus dated February 16, 2024 (together with Prospectus Supplement, collectively, the “Prospectus”) that form part of the Company’s effective registration statement on Form S-3, as amended (No. 333-277142) (the “Registration Statement”). This opinion letter is furnished to you at your request to enable you to fulfill the requirements of Item 601(b)(5) of Regulation S-K, 17 C.F.R. § 229.601(b)(5), in connection with the Registration Statement.

For purposes of this opinion letter, we have examined copies of such agreements, instruments and documents as we have deemed an appropriate basis on which to render the opinions hereinafter expressed. In our examination of the aforesaid documents, we have assumed the genuineness of all signatures, the legal capacity of all natural persons, the accuracy and completeness of all documents submitted to us, the authenticity of all original documents, and the conformity to authentic original documents of all documents submitted to us as copies (including pdfs). We also have assumed that the Common Shares will not be issued in violation of the ownership limit contained in the Company’s Amended and Restated Declaration of Trust, as amended. As to all matters of fact, we have relied on the representations and statements of fact made in the documents so reviewed, and we have not independently established the facts so relied on. This opinion letter is given, and all statements herein are made, in the context of the foregoing.

This opinion letter is based as to matters of law solely on the applicable provisions of Title 8 of the Corporations and Associations Article of the Annotated Code of Maryland, as amended. We express no opinion herein as to any other statutes, rules, or regulations.

Hogan Lovells US LLP is a limited liability partnership registered in the state of Delaware. “Hogan Lovells” is an international legal practice that includes Hogan Lovells US LLP and Hogan Lovells International LLP, with offices in: Alicante Amsterdam Baltimore Berlin Beijing Birmingham Boston Brussels Colorado Springs Denver Dubai Dusseldorf Frankfurt Hamburg Hanoi Ho Chi Minh City Hong Kong Houston Johannesburg London Los Angeles Luxembourg Madrid Mexico City Miami Milan Minneapolis Monterrey Munich New York Northern Virginia Paris Philadelphia Riyadh Rome San Francisco São Paulo Shanghai Silicon Valley Singapore Sydney Tokyo Warsaw Washington, D.C. Associated Offices: Budapest Jakarta Shanghai FTZ. Business Service Centers: Johannesburg Louisville. For more information see www.hoganlovells.com

Based upon, subject to and limited by the foregoing, we are of the opinion that following (i) issuance and sale of the Common Shares in accordance with the terms of the Plan as contemplated by the Registration Statement, and (ii) receipt by the Company of the consideration specified in the Plan, the Common Shares will be validly issued, fully paid, and nonassessable.

This opinion letter has been prepared for use in connection with the filing by the Company of a Current Report on Form 8-K relating to the offer and sale of the Common Shares pursuant to the Plan, which Form 8-K will be incorporated by reference into the Registration Statement and Prospectus, and speaks as of the date hereof. We assume no obligation to advise of any changes in the foregoing subsequent to the delivery of this letter.

We hereby consent to the filing of this opinion letter as Exhibit 5.2 to the above-described Form 8-K and to the reference to this firm under the caption “Legal Matters” in the Prospectus Supplement. In giving this consent, we do not thereby admit that we are an “expert” within the meaning of the Securities Act of 1933, as amended.

Very truly yours,

/s/ HOGAN LOVELLS US LLP

HOGAN LOVELLS US LLP