engage vs protest

engage

verb
  • To guarantee or promise (to do something). 

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

  • 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. 

protest

verb
  • To affirm (something). 

  • to make a solemn written declaration, in due form, on behalf of the holder, against all parties liable for any loss or damage to be sustained by non-acceptance or non-payment of (a bill or note). This should be made by a notary public, whose seal it is the usual practice to affix. 

  • To object to. 

  • To make a strong objection. 

  • To call as a witness in affirming or denying, or to prove an affirmation; to appeal to. 

noun
  • The noting by a notary public of an unpaid or unaccepted bill. 

  • A written declaration, usually by the master of a ship, stating the circumstances attending loss or damage of ship or cargo, etc. 

  • A formal objection, especially one by a group. 

  • A collective gesture of disapproval; a demonstration. 

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