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Intangible Assets and Goodwill
 3 Months Ended
Mar. 31, 2025
Goodwill and Intangible Assets Disclosure [Abstract]  
Intangible Assets and Goodwill Intangible Assets and Goodwill
Intangible Assets
Our intangible assets consist of the following:
 March 31,
2025		December 31,
2024
Definite-lived intangible assets(in thousands)
Intellectual property$12,450 $12,450 
Customer relationships47,547 47,547 
Capitalized internal-use software24,801 22,265 
Less:  Accumulated amortization20,648 18,573 
               Total, net64,150 63,689 
Indefinite-lived intangible assets
Trademarks14,571 14,571 
Total intangible assets, net$78,721 $78,260 
Amortization expense is as follows:
 Three Months Ended
 March 31,
2025		March 31,
2024
(in thousands)
Amortization expense$2,075 $1,706 

The weighted-average amortization period for definite-lived intangible assets are as follows as of March 31, 2025:

(in years)
Intellectual property17.3
Customer relationships10.7
Capitalized internal-use software3.4
Definite-lived intangible assets11.2
Total future amortization expense for finite-lived intangible assets was estimated as follows:
 (in thousands)
2025$4,277 
20265,527 
20275,477 
20284,916 
20294,534 
Thereafter24,792 
Total future amortization expense49,523 
Internal-use software projects not in service14,627 
Total$64,150 
Goodwill
The changes in the carrying amount of goodwill were as follows:
Three Months Ended
March 31,
2025		March 31,
2024
(in thousands)
Balance, beginning of period
$81,892 $81,892 
Additions (decreases) during the period
— — 
Balance, end of period$81,892 $81,892