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Shitoiteしといて is a contraction of shiteoiteしておいて (docf. ておく : do something as preparation for some purpose). Arrest him so he doesn't cause any more trouble.
Shitoite is a contraction of shiteoite (do something as preparation for some purpose). Arrest him so he doesn't cause any more trouble.
しといて is a contraction of しておいて (cf. ておく : do something as preparation for some purpose). Arrest him so he doesn't cause any more trouble.