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to get; to obtain; to come by; to find
旅の途中でやっと宿にあり付いた。
I finally found lodging in the middle of my journey.
三日ぶりに食事にありつく。
I get a meal for the first time in three days.
彼はようやく安定した仕事にあり付いている。
He has finally gotten a stable job.