Segment Reporting and Revenue - Reconciliation of Operating Profit (Loss) from Segments to Consolidated (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	$ 278,015	$ 268,956	$ 798,697	$ 758,595
Cost of revenue	176,152	170,616	516,436	501,927
Gross profit	101,863	98,340	282,261	256,668
Technology and development	40,332	44,392	128,976	139,196
Marketing	27,186	24,095	92,324	97,531
General and administrative	58,788	55,380	181,366	186,584
Restructuring and reorganization	2,509	0	4,732	7,159
Total operating expenses	128,815	123,867	407,398	430,470
Loss from continuing operations	(26,952)	(25,527)	(125,137)	(173,802)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	(6,830)	6,555	(3,299)	70,308
Net loss from continuing operations	(33,782)	(18,972)	(128,436)	(103,494)
Operating Segments | Real estate services
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	175,136	177,750	493,885	485,687
Cost of revenue	126,421	123,684	371,198	359,625
Gross profit	48,715	54,066	122,687	126,062
Technology and development	26,927	25,711	84,354	82,650
Marketing	12,907	10,785	47,939	51,849
General and administrative	18,263	18,418	57,178	58,997
Restructuring and reorganization	0		0	0
Total operating expenses	58,097	54,914	189,471	193,496
Loss from continuing operations	(9,382)	(848)	(66,784)	(67,434)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	38	41	6	41
Net loss from continuing operations	(9,344)	(807)	(66,778)	(67,393)
Operating Segments | Rentals
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	51,660	47,410	152,105	135,636
Cost of revenue	12,366	10,824	35,453	31,016
Gross profit	39,294	36,586	116,652	104,620
Technology and development	10,648	15,813	36,577	48,081
Marketing	13,600	12,245	42,137	42,509
General and administrative	24,074	21,838	66,794	73,445
Restructuring and reorganization	0		0	0
Total operating expenses	48,322	49,896	145,508	164,035
Loss from continuing operations	(9,028)	(13,310)	(28,856)	(59,415)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	100	42	65	115
Net loss from continuing operations	(8,928)	(13,268)	(28,791)	(59,300)
Operating Segments | Mortgage
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	35,621	32,923	109,619	107,838
Cost of revenue	30,214	29,629	88,646	93,108
Gross profit	5,407	3,294	20,973	14,730
Technology and development	675	800	2,031	2,177
Marketing	667	1,088	2,221	3,122
General and administrative	5,885	6,670	19,087	20,323
Restructuring and reorganization	0		0	0
Total operating expenses	7,227	8,558	23,339	25,622
Loss from continuing operations	(1,820)	(5,264)	(2,366)	(10,892)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	(2,966)	(73)	(2,962)	(224)
Net loss from continuing operations	(4,786)	(5,337)	(5,328)	(11,116)
Operating Segments | Discontinued Properties Segment
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue				1,244
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
Gross profit	0	0	0	0
Technology and development	1,193	935	3,328	2,813
Marketing	0	(43)	0	5
General and administrative	9,351	7,502	35,028	30,770
Restructuring and reorganization	2,509		4,732	7,159
Total operating expenses	13,053	8,394	43,088	40,747
Loss from continuing operations	(13,053)	(8,394)	(43,088)	(40,747)
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	(4,268)	6,338	(1,098)	69,901
Net loss from continuing operations	(17,321)	(2,056)	(44,186)	29,154
Other revenue | Other
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenue	15,598	10,873	43,088	29,434
Cost of revenue	7,151	6,479	21,139	18,178
Gross profit	8,447	4,394	21,949	11,256
Technology and development	889	1,133	2,686	3,475
Marketing	12	20	27	46
General and administrative	1,215	952	3,279	3,049
Restructuring and reorganization	0		0	0
Total operating expenses	2,116	2,105	5,992	6,570
Loss from continuing operations	6,331	2,289	15,957	4,686
Interest income, interest expense, income tax expense, gain on extinguishment of convertible senior notes, and other expense, net	266	207	690	475
Net loss from continuing operations	$ 6,597	$ 2,496	$ 16,647	$ 5,161