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This analysis represents an overall statistical approach, but in future work we will combine the measured SFHs with the orbtal phase-space coordinates of each satellites to pursue a similar but more rigorous analysis on a satellite-by-satellite basis.  While preparing this letter, we became aware of Fillingham et al. al.~2015  (submitted), who also used ELVIS to constrain the environmental quenching timescales of satellites of the MW/M31.