charm vs engage

charm

verb
  • To seduce, persuade or fascinate someone or something. 

  • To use a magical charm upon; to subdue, control, or summon by incantation or supernatural influence. 

  • To subdue or overcome by some secret power, or by that which gives pleasure; to allay; to soothe. 

  • To protect with, or make invulnerable by, spells, charms, or supernatural influences. 

noun
  • A second-order measure of derivative price sensitivity, expressed as the instantaneous rate of change of delta with respect to time. 

  • A flock, group (especially of finches). 

  • The ability to persuade, delight or arouse admiration. 

  • An object, act or words believed to have magic power (usually carries a positive connotation). 

  • A small trinket on a bracelet or chain, etc., traditionally supposed to confer luck upon the wearer. 

  • The mixed sound of many voices, especially of birds or children. 

  • A quantum number of hadrons determined by the number of charm quarks and antiquarks. 

engage

verb
  • To attract, to please; (archaic) to fascinate or win over (someone). 

  • To enter into conflict with (an enemy). 

  • To come into gear with. 

  • To enter into (an activity), to participate (construed with in). 

  • To draw into conversation. 

  • To mesh or interlock (of machinery, especially a clutch). 

  • To guarantee or promise (to do something). 

  • To engross or hold the attention of; to keep busy or occupied. 

  • To arrange to employ or use (a worker, a space, etc.). 

  • To bind through legal or moral obligation (to do something, especially to marry) (usually in passive). 

  • To enter into battle. 

How often have the words charm and engage occurred in a corpus of books? (source: Google Ngram Viewer )