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Trade accounts receivable - net (Tables) | 12 Months Ended
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Dec. 31, 2022
Trade accounts receivable - net |
Schedule of Accounts, Notes, Loans and Financing Receivable | The following table represents the activity occurring in the reserves for doubtful accounts in 2022 and 2021. ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Beginning | ​ | Net additions | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Balance | ​ | charged to | ​ | Deductions | ​ | Ending Balance
(in thousands) |  | at January 1 |  | Operations |  | and Other |  | at December 31
2022 | ​ | $ | 1,584 | ​ | $ | 474 | ​ | $ | (131) | ​ | $ | 1,927
2021 | ​ | $ | 1,597 | ​ | $ | 44 | ​ | $ | (57) | ​ | $ | 1,584

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- Definition Tabular disclosure of the various types of trade accounts and notes receivable and for each the gross carrying value, allowance, and net carrying value as of the balance sheet date. Presentation is categorized by current, noncurrent and unclassified receivables. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.3,4) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
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