Left: Mass-metallicity relation for Mg II absorber host galaxies considering the top and bottom 30% sample of redshift distribution with ⟨z⟩ of ∼0.5 (square) and ∼0.8 (circle), respectively. The mass metallicity relation, median (solid and dashed curve), and 1σ scatter (hatched region at −45 and 90°), observed for z ∼ 0.1 (Mannucci et al. 2010) and z ∼ 0.95 galaxies (Huang et al. 2019), respectively. Right: Metallicity gradient with galactrocentric distance for the subset of low (square) and high (circle) mass galaxies with ⟨log(M_★/M_⊙)⟩ of 9.7, and 10.2, respectively. The dashed and solid curves represent the gas-phase metallicity profiles for star-forming galaxies at z ∼ 0 (red curve) and z ∼ 0.8 (blue curve) in IllustrisTNG-50 (Garcia et al. 2023).