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Intangible Assets and Goodwill
 9 Months Ended
Sep. 30, 2025
Goodwill and Intangible Assets Disclosure [Abstract]  
Intangible Assets and Goodwill Intangible Assets and Goodwill
Intangible Assets
Our intangible assets consist of the following:
 September 30,
2025		December 31,
2024
Definite-lived intangible assets(in thousands)
Intellectual property$12,450 $12,450 
Customer relationships47,547 47,547 
Capitalized internal-use software31,283 22,265 
Less:  Accumulated amortization23,857 18,573 
Definite-lived intangible assets, net67,423 63,689 
Indefinite-lived intangible assets
Trademarks14,571 14,571 
Total intangible assets, net$81,994 $78,260 
Amortization expense is as follows:
 Three Months EndedNine Months Ended
 September 30,
2025		September 30,
2024		September 30,
2025		September 30,
2024
(in thousands)
Amortization expense$1,540 $2,626 $5,284 $6,081 

The weighted-average amortization period for definite-lived intangible assets are as follows as of September 30, 2025:

(in years)
Intellectual property17.4
Customer relationships10.2
Capitalized internal-use software7.4
Definite-lived intangible assets10.7
Total future amortization expense for finite-lived intangible assets was estimated as follows:
 (in thousands)
2025$1,539 
20266,157 
20276,100 
20285,536 
20295,154 
Thereafter28,042 
Total future amortization expense52,528 
Internal-use software projects not in service14,895 
Total$67,423 
Goodwill
The changes in the carrying amount of goodwill were as follows:
Nine Months Ended
September 30,
2025		September 30,
2024
(in thousands)
Balance, beginning of period
$81,892 $81,892 
Additions (decreases) during the period
— — 
Balance, end of period$81,892 $81,892