Investments in Real Estate - Schedule of Land Held for Development (Details) $ in Thousands	9 Months Ended
	Sep. 30, 2023 USD ($) a	Dec. 31, 2022 USD ($)
Real Estate [Line Items]
GAAP Investment Balance as of 9/30/2023	$ 84,708	$ 84,412
Real Estate Investment
Real Estate [Line Items]
Approx. Developable Acres | a	450
GAAP Investment Balance as of 9/30/2023	$ 84,708
LXP Amount Funded as of 9/30/2023	$ 80,932
Reems & Olive | Phoenix, AZ | Real Estate Investment
Real Estate [Line Items]
Project (% owned)	95.50%
Approx. Developable Acres | a	320
GAAP Investment Balance as of 9/30/2023	$ 77,653
LXP Amount Funded as of 9/30/2023	$ 74,913
Mt. Comfort Phase II | Indianapolis, IN | Real Estate Investment
Real Estate [Line Items]
Project (% owned)	80.00%
Approx. Developable Acres | a	116
GAAP Investment Balance as of 9/30/2023	$ 5,323
LXP Amount Funded as of 9/30/2023	$ 4,279
ATL Fairburn JV | Atlanta, GA | Real Estate Investment
Real Estate [Line Items]
Project (% owned)	100.00%
Approx. Developable Acres | a	14
GAAP Investment Balance as of 9/30/2023	$ 1,732
LXP Amount Funded as of 9/30/2023	$ 1,740