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to take on; to undertake; to accept; to take charge of; to assume responsibility for
to take over; to inherit
to guarantee; to vouch for
to contract (a disease)
上司に頼まれた仕事を引きうけた。
I took on the task my boss asked me to do.
ボランティアの役割を引きうけることにした。
I decided to take on the volunteer role.
彼女は何でも引きうける頼もしい人だ。
She's a dependable person who takes on anything.