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Use "engagingness" in a sentence
"Unhappily, Barzun's text goes on to page 802; some of the engagingness poops out when he hits the 1960s and the culture hits the skids."
"It is quite possible that Arnold Carruth did profit unworthily by his beauty and engagingness, albeit without calculation."
"Even across the street, Larcher was impressed anew with the young man's engagingness of expression, which owed much to a whimsical, amiable look about the mouth."