break up vs engage

break up

verb
  • To stop a fight; to separate people who are fighting. 

  • To end a (usually romantic or sexual) relationship with each other. 

  • Of a conversation, to cease to be understandable because of a bad connection; of a signal, to deteriorate. 

  • To dissolve; to part. 

  • To break or separate into pieces. 

  • Become disorganised 

  • Of a school, to close for the holidays at the end of term. 

  • be or cause to be overcome with laughter 

  • To end a (usually romantic or sexual) relationship. 

  • To cut or take to pieces for scrap. 

  • To break or separate into pieces; to disintegrate or come apart. 

  • To upset greatly; to cause great emotional disturbance or unhappiness. 

engage

verb
  • 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 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 break up and engage occurred in a corpus of books? (source: Google Ngram Viewer )