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Goodwill and Intangible Assets (Tables)
9 Months Ended
Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Changes in Carrying Amounts of Goodwill
The changes in carrying amounts of goodwill for the nine months ended September 30, 2020 are as follows (in thousands):
Fax and MartechVoice, Backup, Security and CPPTotal Cloud ServicesDigital MediaConsolidated
Balance as of January 1, 2020$397,788 $480,084 $877,872 $755,161 $1,633,033 
Goodwill acquired (Note 4)21,950 — 21,950 1,867 23,817 
Goodwill written off related to sale of a business (1)
— (4,751)(4,751)— (4,751)
Purchase accounting adjustments (2)
— (2,130)(2,130)9,721 7,591 
Foreign exchange translation2,226 (358)1,868 (12)1,856 
Balance as of September 30, 2020$421,964 $472,845 $894,809 $766,737 $1,661,546 
(1) On August 31, 2020, in a cash transaction, the Company sold certain of its Voice assets in Australia and New Zealand which resulted in $4.8 million of goodwill being written off in connection with this sale (see Note 6 - Assets Held for Sale).

(2) Purchase accounting adjustments relate to measurement period adjustments to goodwill in connection with prior business acquisitions (see Note 4 - Business Acquisitions).
Intangible Assets with Indefinite Lives
Intangible assets are summarized as of September 30, 2020 and December 31, 2019 as follows (in thousands):
September 30,
2020
December 31,
2019
Trade names$27,417 $27,379 
Other4,317 4,306 
Total$31,734 $31,685 
Intangible Assets Subject to Amortization
As of September 30, 2020, intangible assets subject to amortization relate primarily to the following (in thousands):
Weighted-Average
  Amortization
Period
Historical
Cost
Accumulated
Amortization
Net
Trade names10.1 years$193,701 $94,259 $99,442 
Patent and patent licenses5.5 years67,949 66,805 1,144 
Customer relationships (1)
8.5 years630,768 440,079 190,689 
Other purchased intangibles4.4 years383,555 246,998 136,557 
Total$1,275,973 $848,141 $427,832 
(1) Historically, the Company has amortized its customer relationship assets in a pattern that best reflects the pace at which the asset’s benefits are consumed. This pattern results in a substantial majority of the amortization expense being recognized in the first 4 to 5 years, despite the overall life of the asset.

As of December 31, 2019, intangible assets subject to amortization relate primarily to the following (in thousands):
Weighted-Average
  Amortization
Period
Historical
Cost
Accumulated
Amortization
Net
Trade names10.2 years$193,202 $82,552 $110,650 
Patent and patent licenses6.5 years67,921 63,143 4,778 
Customer relationships (1)
8.5 years630,730 392,228 238,502 
Other purchased intangibles4.3 years383,195 212,257 170,938 
Total$1,275,048 $750,180 $524,868 
(1) Historically, the Company has amortized its customer relationship assets in a pattern that best reflects the pace at which the asset’s benefits are consumed. This pattern results in a substantial majority of the amortization expense being recognized in the first 4 to 5 years, despite the overall life of the asset.