Investments in Real Estate - Schedule of Land Held for Development (Details) $ in Thousands	9 Months Ended
	Sep. 30, 2022 USD ($) a	Dec. 31, 2021 USD ($)
Real Estate [Line Items]
GAAP Investment Balance as of 9/30/2022	$ 108,379	$ 104,160
Real Estate Investment
Real Estate [Line Items]
Approx. Developable Acres | a	550
GAAP Investment Balance as of 9/30/2022	$ 108,379
LXP Amount Funded as of 9/30/2022	$ 102,854
Reems & Olive | Phoenix, AZ | Real Estate Investment
Real Estate [Line Items]
Project (% owned)	95.50%
Approx. Developable Acres | a	420
GAAP Investment Balance as of 9/30/2022	$ 101,412
LXP Amount Funded as of 9/30/2022	$ 96,961
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 9/30/2022	$ 5,236
LXP Amount Funded as of 9/30/2022	$ 4,165
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 9/30/2022	$ 1,731
LXP Amount Funded as of 9/30/2022	$ 1,728