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Description of the business: Revenue recognition (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Description of the business:    
Maximum contract lengths for billing due upon receipts (in months) 60 months  
Service revenue recognized $ 1.8 $ 1.9
Amortization expense for contract costs $ 4.8 $ 4.7