Synonyms of 'stay out of something'
▷ See stay
not get involved in
In the past, the UN has stayed out of international affairs.
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He has repeatedly dodged the question.
If you eschew something, you deliberately avoid doing it or becoming involved in it.
He eschewed publicity and avoided nightclubs.
If you shun someone or something, you deliberately avoid them or keep away from them.
From that time forward everybody shunned him.
Thesaurus for stay out of something from the Collins English Thesaurus