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General (Tables)
9 Months Ended
Sep. 30, 2024
Basis of Presentation and Significant Accounting Policies [Abstract]  
Schedule of Intangible Assets
Amortization is computed using the straight-line method over the following estimated useful lives:
Intellectual property
6 - 30 years
Customer relationships14 years

Software Development Costs
We capitalize costs incurred to purchase or develop software for internal use. Internal-use software development costs are capitalized during the application development stage. These capitalized costs are reflected in intangible assets, net and goodwill on the consolidated balance sheets and are amortized over the estimated useful life of the software. The useful life of our internal-use software development costs is generally one to six years.
Our intangible assets consist of the following:
 September 30,
2024
December 31,
2023
Definite-lived intangible assets(in thousands)
Intellectual property$12,450 $12,450 
Customer relationships47,547 47,547 
Capitalized internal-use software18,297 3,323 
Less:  Accumulated amortization(15,919)(9,838)
               Total, net62,375 53,482 
Indefinite-lived intangible assets
Trademarks14,571 14,571 
Total intangible assets, net$76,946 $68,053 
Schedule of Goodwill
Goodwill
The changes in the carrying amount of goodwill were as follows:
Nine Months Ended
September 30,
2024
September 30,
2023
(in thousands)
Balance, beginning of period
$81,892 $81,892 
Additions (decreases) during the period
— — 
Balance, end of period$81,892 $81,892