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Table 1.

Variable definitions and summary descriptions.

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Table 2.

Descriptive statistics of main variables.

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Table 3.

Multiple Collinearity Test Results.

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Table 4.

Regression Analysis Results.

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Table 5.

Presents the U-test results for assessing the U-shaped relationship.

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Fig 1.

The U-shaped relationship between corporate ESG and audit pricing.

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Fig 2.

The moderating effect of internal control quality.

cNotes: To visually show the moderating effects, we divided the moderator variables into two groups. Low IC: IC = mean – standard deviation (6.541 - 0.660 = 5.881). High IC: IC = mean + standard deviation (6.541 + 0.660 = 7.201).Additionally, higher-quality internal controls shift the turning point of the curve to the right, implying that companies with lower internal control quality require a more substantial improvement in ESG performance to reach an optimal point.

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Fig 3.

The moderating effect of information asymmetry.

dNotes: To visually show the moderating effects, we divided the moderator variables into two groups. Low ASY: ASY = mean – standard deviation (−0.069–0.322 = −0.391). High ASY: ASY = mean + standard deviation (−0.069 + 0.322 = 0.253).

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Table 6.

The examination of the intermediary effect.

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Table 7.

Robustness tests.

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