boot out vs engage

boot out

verb
  • Emphatic synonym of kick out: to remove, to eject, to expel. 

  • To fall or slide out of a turn due to excessive lean, which causes the athlete's boot to contact and pivot on the surface and the proper surface contact element to lose contact and traction. 

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 boot out and engage occurred in a corpus of books? (source: Google Ngram Viewer )