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Goodwill and Intangible Assets
6 Months Ended
Jun. 30, 2024
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets
The changes in carrying amounts of goodwill for the six months ended June 30, 2024 are as follows (in thousands):
Amount
Balance as of January 1, 2024
$348,822 
Foreign exchange translation(2,082)
Balance as of June 30, 2024$346,740 
As of June 30, 2024 the Company’s goodwill had no accumulated impairment.
Intangible Assets with Indefinite Lives:
Intangible assets are summarized as of June 30, 2024 and December 31, 2023 as follows (in thousands):
June 30, 2024December 31, 2023
Trade names$27,339 $27,367 
Other4,045 4,045 
Total$31,384 $31,412 

Intangible Assets Subject to Amortization:
As of June 30, 2024, intangible assets subject to amortization are summarized as follows (in thousands):
Weighted-Average Remaining
  Amortization
Period
Historical
Cost
Accumulated
Amortization
Net
Trade names0.3 years$8,149 $7,803 $346 
Patent and patent licenses0.0 years54,341 54,341 — 
Customer relationships (1)
2.3 years107,794 98,151 9,643 
Other purchased intangibles 1.3 years11,911 10,219 1,692 
Total
 $182,195 $170,514 $11,681 
(1) The Company amortizes its customer relationship assets in a pattern that best reflects the pace in which the assets’ benefits are consumed. This pattern results in a substantial majority of the amortization expense being recognized in the first four to five years, which may not correlate to the overall life of the asset.

    As of December 31, 2023, intangible assets subject to amortization are summarized as follows (in thousands):
Weighted-Average Remaining
  Amortization
Period
Historical
Cost
Accumulated
Amortization
Net
Trade names0.3 years$8,199 $7,789 $410 
Patent and patent licenses0.0 years54,341 54,341 — 
Customer relationships (1)
2.6 years108,417 97,333 11,084 
Other purchased intangibles 1.8 years11,989 9,905 2,084 
Total$182,946 $169,368 $13,578 
(1) The Company amortizes its customer relationship assets in a pattern that best reflects the pace in which the assets’ benefits are consumed. This pattern results in a substantial majority of the amortization expense being recognized in the first four to five years, which may not correlate to the overall life of the asset.

Expected amortization expenses for intangible assets subject to amortization at June 30, 2024 are as follows (in thousands):
Fiscal Year:Amount
2024 (remainder)
$1,819 
20252,596 
20262,091 
20271,391 
2028
986 
Thereafter2,798 
Total$11,681 
Amortization expense was $0.9 million and $1.1 million for the three months ended June 30, 2024 and 2023, respectively, and $1.8 million and $2.2 million for the six months ended June 30, 2024 and 2023, respectively.