Brentwood bought the company via its fifth fund, according to the filing.
ICV initially acquired the retail store chain in 2003 and then sold it to Bruckmann, Rosser, Sherrill & Co, which sold the company back to the firm in 2008.
MRG currently has earnings of $45m and could be valued at between $250m and $300m, according to a PeHUB report.
ICV closed its third fund, which was launched in late 2012 with a $600m target, on $400m in May this year.
Brentwood is currently raising its fifth fund, which is targeting $500m.
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