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Jobs are expected to go at women's clothing chain Principles, which has branches in Ashford's Designer Outlet Centre, Gillingham's Hempstead Valley Shopping Centre and Bluewater.
Up to 2,300 jobs and 66 stores are expected to go nationwide.
Administrators appointed last week have been unable to find a buyer.
Debenhams will buy most of the stock, but the vast majority of staff are expected to lose their jobs.