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Intangible Assets, net (Tables) | 6 Months Ended
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Jun. 30, 2021
Intangible Assets, net |
Summary of intangible assets, net | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | June 30, 2021 | ​ | December 31, 2020
​ | 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 | 5.0 | ​ | $ | 0.7 | ​ | $ | (0.5) | ​ | $ | 0.7 | ​ | $ | (0.5)
Customer lists/relationships | 14.9 | ​ | ​ | 623.4 | ​ | ​ | (415.2) | ​ | ​ | 623.2 | ​ | ​ | (396.7)
Software | 10.0 | ​ | ​ | 8.1 | ​ | ​ | (8.1) | ​ | ​ | 8.1 | ​ | ​ | (8.1)
Other | 5.2 | ​ | ​ | 0.8 | ​ | ​ | (0.6) | ​ | ​ | 1.1 | ​ | ​ | (0.9)
​ | ​ | ​ | ​ | 633.0 | ​ | ​ | (424.4) | ​ | ​ | 633.1 | ​ | ​ | (406.2)
Intangible assets not subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names | ​ | ​ | ​ | 720.3 | ​ | ​ | — | ​ | ​ | 720.2 | ​ | ​ | —
​ | ​ | ​ | $ | 1,353.3 | ​ | $ | (424.4) | ​ | $ | 1,353.3 | ​ | $ | (406.2)
Summary of estimated aggregate amortization expense | ​
​ | ​ | ​
​ | (in millions)
2021 (remaining six months) | $ | 18.1
2022 | ​ | 35.9
2023 | ​ | 31.6
2024 | ​ | 28.1
2025 | ​ | 23.9
2026 | ​ | 14.4

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