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Intangible Assets, net (Tables) | 9 Months Ended
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Sep. 30, 2019
Intangible Assets, net |
Summary of intangible assets, net | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | September 30, 2019 | ​ | December 31, 2018
​ | Weighted Average | ​ | Gross | ​ | ​ | ​ | ​ | Gross | ​ | ​ | ​
​ | Amortizable | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Accumulated
​ | Life in Years |  | Amount |  | Amortization |  | Amount |  | Amortization
​ | ​ | ​ | (in millions)
Intangible assets subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Covenants not to compete | 4.8 | ​ | $ | 0.8 | ​ | $ | (0.5) | ​ | $ | 0.8 | ​ | $ | (0.4)
Customer lists/relationships | 15.0 | ​ | ​ | 708.7 | ​ | ​ | (426.4) | ​ | ​ | 707.3 | ​ | ​ | (393.4)
Software | 10.0 | ​ | ​ | 8.1 | ​ | ​ | (8.1) | ​ | ​ | 8.1 | ​ | ​ | (8.1)
Other | 7.3 | ​ | ​ | 1.1 | ​ | ​ | (0.9) | ​ | ​ | 1.0 | ​ | ​ | (0.9)
​ | ​ | ​ | ​ | 718.7 | ​ | ​ | (435.9) | ​ | ​ | 717.2 | ​ | ​ | (402.8)
Intangible assets not subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names | ​ | ​ | ​ | 757.9 | ​ | ​ | — | ​ | ​ | 757.6 | ​ | ​ | —
​ | ​ | ​ | $ | 1,476.6 | ​ | $ | (435.9) | ​ | $ | 1,474.8 | ​ | $ | (402.8)
Summary of estimated aggregate amortization expense | ​
​ | ​ | ​
​ | (in millions)
2019 (remaining three months) | $ | 10.8
2020 | ​ | 43.1
2021 | ​ | 41.4
2022 | ​ | 36.7
2023 | ​ | 30.7
2024 | ​ | 27.2

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