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Goodwill and Long-lived Assets
9 Months Ended
Sep. 30, 2022
Notes To Financial Statements [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets During the three months ended September 30, 2022, we completed an immaterial business combination which increased goodwill and existing technology intangible assets.
Goodwill

The change in the carrying value of goodwill for the nine months ended September 30, 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 
Additions from acquisition— 8,729 8,729 
Foreign currency translation adjustments
(6,694)(42,966)(49,660)
Balance as of September 30, 2022$105,514 $272,102 $377,616 

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
September 30, 2022
Accumulated
Amortization
Accumulated
Impairment Loss
Net Carrying
Value as of
September 30, 2022
Existing technology10$112,051 $(30,589)$(4,328)$77,134 
Customer relationships1021,500 (5,375)— 16,125 
Trademarks and tradenames1017,200 (5,925)(4,179)7,096 
Patents 86,511 (5,090)— 1,421 
$157,262 $(46,979)$(8,507)101,776 
Foreign currency translation adjustments(10,065)
Total intangible assets, net 1
$91,711 
1 Also includes $33.5 million of fully amortized intangible assets related to customer relationships.

Weighted Average Amortization Period
(in years)
Gross Carrying
Amount as of December 31, 2021
Accumulated
Amortization
Accumulated Impairment Loss
Net 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 September 30, 2022 is as follows (in thousands):

Fiscal Year Ending December 31,Amortization
Remainder of 2022$4,144 
202316,501 
202415,335 
202514,959 
202614,353 
Thereafter36,484 
Total$101,776 
Amortization expense for the three months ended September 30, 2022 and 2021 was $3.9 million and $4.4 million, respectively, and amortization expense for the nine months ended September 30, 2022 and 2021 was $12.1 million and $12.2 million, respectively.