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to beg; to pester; to plead; to coax; to hound; to importune
「強請る」 has another reading with different meanings.
子供が新しいおもちゃを強請っています。
The child is pestering for a toy.
彼女におごりを強請られて困りました。
She pestered me to treat her.
子供が欲しいおもちゃを親に必死で強請る姿が微笑ましい。
The sight of a child desperately begging their parent for a toy is heartwarming.