push out vs welcome

push out

verb
  • To force (someone) to leave a group. 

  • To extrude. 

noun
  • In nine ball pool, an optional shot after a legal break shot where a player is allowed to hit any ball first, or not any, as well as not hit a rail, and the opponent can choose who shoots the next shot. 

welcome

noun
  • The utterance of such a greeting. 

  • The act of greeting someone’s arrival, especially by saying "Welcome!"; reception. 

  • Kind reception of a guest or newcomer. 

  • The state of being a welcome guest. 

intj
  • Greeting given upon someone's arrival. 

adj
  • Whose arrival is a cause of joy; received with gladness; admitted willingly to the house, entertainment, or company. 

  • Producing gladness. 

  • Free to have or enjoy gratuitously. 

verb
  • To affirm or greet the arrival of someone, especially by saying "Welcome!". 

  • To accept something willingly or gladly. 

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