banish vs shut out

banish

verb
  • To send someone away and forbid that person from returning. 

  • To expel, especially from the mind. 

shut out

verb
  • To prevent from entering; to block or exclude. 

  • To prevent from scoring; to perform a shutout. 

  • To hide from sight. 

  • To refuse to be open and vulnerable toward. 

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