engage vs lose

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. 

lose

verb
  • To give or owe (money) after losing a bet. 

  • To cause (somebody) to be unable to follow or trace one any longer. 

  • To shed (weight). 

  • To fail to catch with the mind or senses; to miss. 

  • To cause (something) to cease to be in one's possession or capability due to unfortunate or unknown circumstances, events or reasons. 

  • To have (an organ) removed from one's body, especially by accident. 

  • To shed, remove, discard, or eliminate. 

  • To wander from; to miss, so as not to be able to find; to go astray from. 

  • To cause (someone) the loss of something; to deprive of. 

  • To fail to win (a game, competition, trial, etc). 

  • To be unable to follow or trace (somebody or something) any longer. 

  • To experience the death of (someone to whom one has an attachment, such as a relative or friend). 

  • To be deprived of access to something. 

  • To cease exhibiting; to overcome (a behavior or emotion). 

  • Of a clock, to run slower than expected. 

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