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Fig. 1.

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Distribution of Log Eddington ratio for the quasar sample, showing the kernel density estimation (KDE) curve (blue solid line) with an overlaid Gaussian fit (red dashed line). The vertical lines indicate the mean (black dashed line) and one-sigma deviation from the mean (purple dashed lines). The shaded sky blue region indicates the low Eddington ratio range, while the shaded pink region highlights the high Eddington ratio range, defining the boundaries used for sample selection.

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