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Financial instruments (Tables) | 12 Months Ended
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Dec. 31, 2023
Fair Value Disclosures [Abstract] |
Financial Instruments not Carried at Fair Value | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | December 31, 2022 |  | December 31, 2023
​ | ​ | Carrying | ​ | Fair | ​ | Carrying | ​ | Fair
​ | ​ | amount | ​ | value | ​ | amount | ​ | value
​ | ​ | (In millions)
Cash, cash equivalents and restricted cash equivalents | ​ | $ | 562.0 | ​ | $ | 562.0 | ​ | $ | 462.0 | ​ | $ | 462.0
Long-term debt: | ​ |  | ​ | ​ |  |  | ​ |  | ​ | ​ |  |
Kronos 3.75% Senior Secured Notes due 2025 | ​ |  | 424.1 | ​ |  | 374.2 | ​ |  | 440.9 | ​ |  | 424.5
Valhi credit facility with Contran | ​ |  | 121.4 | ​ |  | 121.4 | ​ |  | 93.4 | ​ |  | 93.4
LandWell bank note payable | ​ |  | 12.9 | ​ |  | 12.9 | ​ |  | 12.2 | ​ |  | 12.2

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- Definition Tabular disclosure of the fair value of financial instruments, including financial assets and financial liabilities, and the measurements of those instruments, assets, and liabilities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482106/820-10-50-2 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 825 -SubTopic 10 -Section 50 -Paragraph 11 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482907/825-10-50-11 + Details
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