Distribution of the eFEDS-undetected PL DOGs in the plane of L_{0.5 − 2 keV}^{(abs, corr)} and redshift. The L_{0.5 − 2 keV}^{(abs, corr)} were estimated from the obtained L_6 μm, by utilizing the luminosity relation between L_{2 − 10 keV}^{(abs, corr)}–L_6 μm (e.g., Chen et al. 2017), and extrapolated the expected L_{0.5 − 2 keV}^{(abs, corr)} by assuming the photon index of Γ = 1.8. The blue crosses represent the eFEDS-undetected PL DOGs. The solid blue, orange, green, red, purple, and brown lines represent the limiting luminosities between 0.5 and 2.0 keV with corresponding log(N_H/cm⁻²) of f20, 21, 22, 23, 23.25, and 23.5, respectively. For calculating the limiting luminosities, we utilize a flux limit of f_{0.5 − 2 keV} = 6.5 × 10⁻¹⁵ erg s⁻¹ cm⁻². The solid black line represents the upper bound of the expected X-ray luminosities by assuming that the eFEDS X-ray band is dominated by the X-ray scattered component with f_scatt = 1.4%. This is equivalent to a value that is 100/1.4 times above the curve of N_H/cm⁻² = 0.