eliminate vs shut out

eliminate

verb
  • To exclude (from investigation or from further competition). 

  • To kill (a person or animal). 

  • To completely remove, get rid of, put an end to. 

  • To record amounts in a consolidation statement to remove the effects of inter-company transactions. 

  • To excrete (waste products). 

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 eliminate and shut out occurred in a corpus of books? (source: Google Ngram Viewer )