Synonyms for Beguile (same or very similar meaning)
WordNet sense 1 (influence by slyness):
hoodwink, juggle
WordNet sense 2 (attract; cause to be enamored):
bewitch, captivate, capture, catch, charm, enamor, enchant, entrance, fascinate, trance, becharm, enamour, entrance
From the ODE community, based on WordNet
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