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to offer (a suggestion, etc.); to propose (an idea, etc.); to approach with (a proposal, etc.)
彼に相談を持ち掛けた。
I brought up a matter for consultation with him.
知らない人が投資の話を持ち掛けてきた。
A stranger brought up an investment offer.
部下が新しい企画を持ち掛けるので聞いてみた。
My subordinate proposed a new project so I listened.