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Goodwill and Long-lived Assets
3 Months Ended
Mar. 31, 2022
Notes To Financial Statements [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets
Goodwill

The change in the carrying value of goodwill for the three months ended March 31, 2022, categorized by reportable segments, is as follows (in thousands):
Clear AlignerSystems and ServicesTotal
Balance as of December 31, 2021$112,208 $306,339 $418,547 
Foreign currency translation adjustments
(642)(5,940)(6,582)
Balance as of March 31, 2022$111,566 $300,399 $411,965 

Intangible Long-Lived Assets

Acquired intangible long-lived assets were as follows, excluding intangibles that were fully amortized (in thousands): 
Weighted Average Amortization Period
(in years)
Gross Carrying Amount as of
March 31, 2022
Accumulated
Amortization
Accumulated
Impairment Loss
Net Carrying
Value as of
March 31, 2022
Existing technology10$104,531 $(25,068)$(4,328)$75,135 
Customer relationships1155,000 (26,894)(10,751)17,355 
Trademarks and tradenames1017,200 (5,006)(4,179)8,015 
Patents 86,511 (4,693)— 1,818 
$183,242 $(61,661)$(19,258)102,323 
Foreign currency translation adjustments1,176 
Total intangible assets, net$103,499 
Weighted Average Amortization Period
(in years)
Gross Carrying
Amount as of December 31, 2021
Accumulated
Amortization
Accumulated Impairment LossNet Carrying
Value as of
December 31, 2021
Existing technology10$104,531 $(22,495)$(4,328)$77,708 
Customer relationships1155,000 (25,891)(10,751)18,358 
Trademarks and tradenames1017,200 (4,547)(4,179)8,474 
Patents86,511 (4,495)— 2,016 
$183,242 $(57,428)$(19,258)106,556 
Foreign currency translation adjustments3,153 
Total intangible assets, net$109,709 

The total estimated annual future amortization expense for these acquired intangible assets as of March 31, 2022 is as follows (in thousands):

Fiscal Year Ending December 31,Amortization
Remainder of 2022$11,459 
202314,997 
202413,831 
202513,455 
202612,849 
Thereafter35,732 
Total$102,323 

Amortization expense for the three months ended March 31, 2022 and 2021 was $4.3 million and $3.9 million, respectively.