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Goodwill and Long-lived Assets
6 Months Ended
Jun. 30, 2023
Notes To Financial Statements [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets
Goodwill

The change in the carrying value of goodwill for the six months ended June 30, 2023, categorized by reportable segments, is as follows (in thousands):
Clear AlignerSystems and ServicesTotal
Balance as of December 31, 2022$109,480 $298,071 $407,551 
Foreign currency translation adjustments
959 6,255 7,214 
Balance as of June 30, 2023$110,439 $304,326 $414,765 

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
June 30, 2023
Accumulated
Amortization
Accumulated
Impairment Loss
Net Carrying
Value as of
June 30, 2023
Existing technology10$112,051 $(39,434)$(4,328)$68,289 
Customer relationships1021,500 (6,988)— 14,512 
Trademarks and tradenames1017,200 (7,361)(4,122)5,717 
Patents 86,511 (5,685)— 826 
$157,262 $(59,468)$(8,450)89,344 
Foreign currency translation adjustments(48)
Total intangible assets, net 1
$89,296 
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, 2022
Accumulated
Amortization
Accumulated Impairment Loss
Net Carrying
Value as of
December 31, 2022
Existing technology10$112,051 $(33,537)$(4,328)$74,186 
Customer relationships1021,500 (5,913)— 15,587 
Trademarks and tradenames1017,200 (6,442)(4,122)6,636 
Patents86,511 (5,288)— 1,223 
$157,262 $(51,180)$(8,450)97,632 
Foreign currency translation adjustments(1,912)
Total intangible assets, net 1
$95,720 
1 Also includes $33.5 million of fully amortized intangible assets related to customer relationships.

The total estimated annual future amortization expense for these acquired intangible assets as of June 30, 2023 is as follows (in thousands):
Fiscal Year Ending December 31,Amortization
Remainder of 2023
$8,213 
202415,335 
202514,959 
202614,353 
202711,992 
Thereafter24,492 
Total$89,344 

Amortization expense for the three months ended June 30, 2023 and 2022 was $4.1 million and $3.9 million, respectively, and amortization expense for both the six months ended June 30, 2023 and 2022 was $8.2 million.