cut in vs involve oneself

cut in

verb
  • To begin riding a wave in front of someone else whose legitimate turn it is. 

  • To join a queue in the middle, as opposed to at the back. 

  • To pull in front of another vehicle in traffic, especially to do so dangerously or unfairly. 

  • When painting, to paint edges, corners, or trim in preparation for rolling larger areas. 

involve oneself

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