detective story
US /dɪˈtek.tɪv ˌstɔːr.i/
UK /dɪˈtek.tɪv ˌstɔːr.i/

1.
a story about a crime and a detective who tries to solve it
:
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She loves reading classic detective stories by Agatha Christie.
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The new film is a thrilling detective story set in the 1940s.