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Goodwill and Other Intangibles (Tables) | 6 Months Ended
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Jun. 30, 2020
Goodwill and Other Intangibles |
Changes in the carrying amount of goodwill by segment | Changes in the carrying amount of goodwill for the six months ended June 30, 2020 by segment, were as follows, in thousands:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Gross Goodwill |  | ​ |  | Gross Goodwill |  | Accumulated |  | Net Goodwill
​ | ​ | at | ​ | ​ | ​ | at | ​ | Impairment | ​ | at
​ | ​ | December 31, 2019 | ​ | Additions | ​ | June 30, 2020 | ​ | Losses | ​ | June 30, 2020
Goodwill, by segment: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Installation | ​ | $ | 1,683,589 | ​ | $ | 11,903 | ​ | $ | 1,695,492 | ​ | $ | (762,021) | ​ | $ | 933,471
Distribution | ​ |  | 446,350 | ​ |  | — | ​ |  | 446,350 | ​ |  | — | ​ |  | 446,350
Total goodwill | ​ | $ | 2,129,939 | ​ | $ | 11,903 | ​ | $ | 2,141,842 | ​ | $ | (762,021) | ​ | $ | 1,379,821
Schedule of other intangible assets | Other intangible assets, net includes customer relationships, non-compete agreements, and trademarks / trade names. The following table sets forth our other intangible assets, in thousands: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | As of
​ |  |  |  |  |  |  |  | June 30, | ​ | December 31,
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 2020 | ​ | 2019
Gross definite-lived intangible assets |  | ​ | ​ | ​ | ​ | ​ | ​ | $ | 227,761 | ​ | $ | 221,382
Accumulated amortization |  | ​ | ​ | ​ | ​ | ​ | ​ | ​ | (50,890) | ​ | ​ | (40,260)
Net definite-lived intangible assets |  | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 176,871 | ​ | ​ | 181,122
Indefinite-lived intangible assets not subject to amortization |  | ​ | ​ | ​ | ​ | ​ | ​ | ​ | — | ​ | ​ | —
Other intangible assets, net |  | ​ | ​ | ​ | ​ | ​ | ​ | $ | 176,871 | ​ | $ | 181,122
Schedule of amortization expense | The following table sets forth our amortization expense, in thousands: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Three Months Ended June 30, | ​ | Six Months Ended June 30,
​ |  | 2020 |  | 2019 |  | 2020 |  | 2019
Amortization expense | ​ | $ | 5,358 | ​ | $ | 5,173 | ​ | $ | 10,630 | ​ | $ | 10,346

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