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Goodwill and Intangible Assets (Tables)
 9 Months Ended
Sep. 30, 2024
Goodwill and Intangible Assets Disclosure [Abstract]  
Summary of Goodwill by Reportable Segment
The change in the carrying value of goodwill for the nine months ended September 30, 2024, categorized by reportable segment, is as follows (in thousands):
Clear AlignerSystems and ServicesTotal
Balance as of December 31, 2023
$111,086 $308,444 $419,530 
Additions from acquisition47,576 — 47,576 
Foreign currency translation adjustments
963 3,443 4,406 
Balance as of September 30, 2024
$159,625 $311,887 $471,512 
Schedule of Amortized Intangible Assets
Acquired finite-lived intangible assets, excluding intangibles that were fully amortized, are as follows (in thousands): 
Weighted Average Amortization Period
(in years)
Gross Carrying Amount as of
September 30, 2024
Accumulated
Amortization		Accumulated
Impairment Loss
Net Carrying
Value as of
September 30, 2024
Existing technology11$146,651 $(48,581)$— $98,070 
Customer relationships1021,500 (9,675)— 11,825 
Trademarks and tradenames1016,600 (8,759)(4,122)3,719 
Patents 12480 (270)— 210 
$185,231 $(67,285)$(4,122)113,824 
Foreign currency translation adjustments2,081 
Total intangible assets, net$115,905 
Weighted Average Amortization Period
(in years)
Gross Carrying
Amount as of December 31, 2023
Accumulated
Amortization
Accumulated Impairment Loss
Net Carrying
Value as of
December 31, 2023
Existing technology10$112,051 $(45,331)$(4,328)$62,392 
Customer relationships1021,500 (8,063)— 13,437 
Trademarks and tradenames1016,600 (7,605)(4,122)4,873 
Patents86,511 (6,082)— 429 
$156,662 $(67,081)$(8,450)81,131 
Foreign currency translation adjustments987 
Total intangible assets, net$82,118 
Schedule of Finite-Lived Intangible Assets, Future Amortization Expense
The total estimated annual future amortization expense for these acquired intangible assets as of September 30, 2024, is as follows (in thousands):

Fiscal Year Ending December 31,Amortization
Remainder of 2024
$4,643 
202518,574 
202617,969 
202715,607 
202814,505 
202914,505 
Thereafter28,021 
Total$113,824