Suggesting Recruitment to a PNM

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I would bring it up organically. Say, "SISTER and I were talking about how similiar your school is to mine." Share an example and then launch into how you found your home away from home in Greek Life, etc., and then tell her about your experience and tell her that if she's interested in sorority life, you think she would be a great candidate and you'd be glad to help her prepare. After that, she can decide.