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Goodwill, Finite-Lived, and Indefinite-Lived Intangibles
6 Months Ended
Jun. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill, Finite-Lived, and Indefinite-Lived Intangibles Goodwill, Finite-Lived, and Indefinite-Lived Intangibles    Changes in the carrying amount of goodwill for the six months ended June 30, 2023 and the year ended December 31, 2022 are reflected in the following table:
June 30, 2023December 31, 2022
(Unaudited)
 (In thousands)
Beginning Balance$881,676 $939,249 
Additions— — 
Purchase accounting adjustments— — 
Foreign currency translation adjustments$5,425 (57,573)
Ending Balance$887,101 $881,676 

    The carrying value of finite-lived and indefinite-lived intangible assets at June 30, 2023 and December 31, 2022 are as follows:
June 30,
2023
December 31,
2022
(Unaudited)
 (In thousands)
Finite-lived intangible assets:  
Customer relationships$101,333 $101,401 
Developed technology37,139 34,427 
Dealer network6,067 5,877 
Airport contracts4,021 3,992 
Trademarks2,667 2,651 
Store networks2,169 2,153 
Brand797 791 
Non-compete agreements704 702 
Database212 212 
Backlog140 140 
Total intangibles155,249 152,346 
Accumulated amortization(107,254)(101,446)
Finite-lived intangibles, net$47,995 $50,900 
Indefinite-lived intangibles:. 
Customer/territorial relationships16,647 16,647 
Amortization expense recognized in connection with acquired intangible assets was $3.5 million and $7.0 million and for the three and six month period ended June 30, 2023, respectively, and $2.5 million and $5.0 million for the three and six month period ended June 30, 2022, respectively.