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Fig. 4.

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Observed L′/LIR for CO (7 − 6) (top), [C I](3P23P1) (center), and L [ C I ] 3 P 2 3 P 1 $ L^{\prime}_{{[\mathrm{C}\,\textsc{i}]}^3P_2{-} ^3P_1} $/Mdust ratios (bottom) as a function of LIR for our targets, as labeled (downward triangles; 3σ upper limits) and a literature compilation described in Appendix B (red circles; colors and sizes scale with redshift). The red arrows connect the observed and de-lensed estimates of LIR for our targets. The open triangles show the upper limits on our targets when fixing β = 1.5 − 2 in the SED modeling. The dashed line in the top panel indicates the empirical L I R L C O ( 7 6 ) $ L_{\rm IR}{-}L^\prime_{\rm CO(7{-}6)} $ relation from Valentino et al. (2020a). The black arrows in the central and bottom panels indicate the direction of increasing depletion timescales ( L [ C I ] 3 P 2 3 P 1 $ L^{\prime}_{{[\mathrm{C}\,\textsc{i}]}^3P_2{-} ^3P_1} $/LIR ∝ Mgas/SFR) and the dust-to-gas mass ratio ( L [ C I ] 3 P 2 3 P 1 $ L^{\prime}_{{[\mathrm{C}\,\textsc{i}]}^3P_2{-} ^3P_1} $/ M dust δ DGR 1 $ M_{\mathrm{dust}} \propto \delta_{\mathrm{DGR}}^{-1} $), respectively.

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