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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Schedule of stock based compensation cost
The following table summarizes stock-based compensation costs for the three and six months ended June 30, 2023 and 2022 (in thousands of dollars):
Three Months Ended
June 30,
Six Months Ended
June 30,
2023202220232022
Liability-classified awards
Cash-settled awards$1,610 $972 $2,752 $1,633 
Equity-classified awards
Restricted stock awards336 317 639 628 
Restricted stock time-based unit awards5,524 5,029 11,737 10,420 
Restricted stock performance-based unit awards2,366 2,201 4,703 4,314 
Stock-based compensation cost9,836 8,519 19,831 16,995 
Tax Benefit(1)
(257)(1,220)(1,749)(2,559)
Stock-based compensation cost, net of tax$9,579 $7,299 $18,082 $14,436 
(1) Any tax benefit for stock-based compensation during the six months ended June 30, 2023 will be offset by the change in valuation allowance. The Company was in a valuation allowance position during the six months ended June 30, 2023.