Fair Trade, by Shatterbox Theatre Company, uses the words of two women trafficked into Britain to tell their own stories.
Thompson does not appear in the show, but got involved with the production after meeting writers Anna Holbek and Shelley Davenport through her work with human-rights organisation, the Helen Bamber Foundation.
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Hide AdThompson, who will visit Edinburgh during the play's Fringe run at the Pleasance, said: "I'm extremely proud to be involved in this production; it's one of the best scripts I've seen in years."