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Commitments and contingencies (Tables) | 12 Months Ended
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Dec. 31, 2023
Commitments and contingencies |
Summary of Approximate Percentage of TiO2 Sales by Volume | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | 2021 | ​ | 2022 | ​ | 2023
Europe |  | 46% | ​ | 45% | ​ | 44%
North America |  | 37% | ​ | 39% | ​ | 41%

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