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

Board of Trustees LXP Industrial Trust 2 February 16, 2024

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