Segment Reporting and Revenue - Reconciliation of Operating Profit (Loss) from Segments to Consolidated (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	$ 295,203	$ 275,556	$ 520,682	$ 489,639
Cost of revenue	185,617	175,366	340,284	331,311
Gross profit	109,586	100,190	180,398	158,328
Technology and development	42,215	47,141	88,644	94,804
Marketing	40,260	33,033	65,138	73,436
General and administrative	54,705	61,765	122,578	131,204
Restructuring and reorganization	1,334	6,106	2,223	7,159
Total operating expenses	138,514	148,045	278,583	306,603
Loss from continuing operations	(28,928)	(47,855)	(98,185)	(148,275)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	1,048	20,643	3,531	63,753
Net loss from continuing operations	(27,880)	(27,212)	(94,654)	(84,522)
Net loss	(27,880)	(27,358)	(94,654)	(88,156)
Operating Segments | Real estate services
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	187,569	180,641	318,749	307,937
Cost of revenue	133,863	124,447	244,777	235,941
Gross profit	53,706	56,194	73,972	71,996
Technology and development	28,920	28,044	57,427	56,939
Marketing	23,855	16,004	35,032	41,064
General and administrative	19,140	20,961	38,915	40,579
Restructuring and reorganization	0	0	0	0
Total operating expenses	71,915	65,009	131,374	138,582
Loss from continuing operations	(18,209)	(8,815)	(57,402)	(66,586)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	14	0	(32)	0
Net loss from continuing operations	(18,195)
Net loss		(8,815)	(57,434)	(66,586)
Operating Segments | Rentals
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	50,927	45,356	100,445	88,226
Cost of revenue	11,630	10,427	23,087	20,192
Gross profit	39,297	34,929	77,358	68,034
Technology and development	10,417	16,304	25,929	32,268
Marketing	15,749	15,938	28,537	30,264
General and administrative	20,242	25,305	42,720	51,607
Restructuring and reorganization	0	0	0	0
Total operating expenses	46,408	57,547	97,186	114,139
Loss from continuing operations	(7,111)	(22,618)	(19,828)	(46,105)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	(42)	28	(35)	73
Net loss from continuing operations	(7,153)
Net loss		(22,590)	(19,863)	(46,032)
Operating Segments | Mortgage
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	40,179	38,426	73,998	74,915
Cost of revenue	32,528	34,266	58,432	63,479
Gross profit	7,651	4,160	15,566	11,436
Technology and development	700	734	1,356	1,377
Marketing	648	1,054	1,554	2,034
General and administrative	6,519	6,724	13,202	13,653
Restructuring and reorganization	0	0	0	0
Total operating expenses	7,867	8,512	16,112	17,064
Loss from continuing operations	(216)	(4,352)	(546)	(5,628)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	1	(91)	4	(151)
Net loss from continuing operations	(215)
Net loss		(4,443)	(542)	(5,779)
Operating Segments | Discontinued Properties Segment
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue		95		1,244
Operating Segments | Other
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	16,528	11,133	27,490	18,561
Cost of revenue	7,596	6,226	13,988	11,699
Technology and development	965	1,118	1,797	2,342
Marketing	8	16	15	26
General and administrative	910	1,044	2,064	2,097
Restructuring and reorganization	0	0	0	0
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	180	153	424	268
Operating Segments | Corporate overhead
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	0	0		0
Cost of revenue	0	0		0
Technology and development	1,213	941	2,135	1,878
Marketing	0	21	0	48
General and administrative	7,894	7,731	25,677	23,268
Restructuring and reorganization	1,334	6,106	2,223	7,159
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	895	20,553	3,170	63,563
Other revenue
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit	8,932	4,907	13,502	6,862
Total operating expenses	1,883	2,178	3,876	4,465
Loss from continuing operations	7,049	2,729	9,626	2,397
Net loss from continuing operations	7,229
Net loss		2,882	10,050	2,665
Corporate overhead
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit	0	0	0	0
Total operating expenses	10,441	14,799	30,035	32,353
Loss from continuing operations	(10,441)	(14,799)	(30,035)	(32,353)
Net loss from continuing operations	$ (9,546)
Net loss		$ 5,754	$ (26,865)	$ 31,210