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We conclude by briefly discussing the dependence of satellite quenching timescales on $\mstar$ from Figure~\ref{fig:quench_times} in the context of the underlying physics.  At $\mstar\gtrsim10^9\msun$, the longquenching  timescales suggests that satellite  quenching driven is caused  by gas depletion in the absence of cosmic accretion, caused by via  the stripping of extended gas around the satellite, after infall (``strangulation''). This scenario also explains can explain  the decline of the quenching timescale with increasing $\mstar$, because higher-$\mstar$ (non-satellite) galaxies generally have lower $\mgas/\mstar$ \citep[in either cold atomic or molecular gas, e.g.,][Bradford et al., submitted]{Schiminovich2010, Huang2012, Boselli2014} and thus shorter gas depletion timescales in the absence of accretion. Conversely, at $\mstar\sim10^9\msun$, galaxies have $\mgas/\mstar\approx1$, with gas depletion timescales comparable to a Hubble time.  Thus, satellite quenching timescales at $\mstar\gtrsim10^9\msun$ do not necessarily \emph{require} strong environmental processes beyond truncated gas accretion \citep[see also discussions in][]{Wetzel2013, Wheeler2014, McGee2014}.