put aside vs shut one's eyes

put aside

verb
  • To ignore or intentionally disregard (something), temporarily or permanently, so that more important things can occupy one's attention. 

  • Used other than figuratively or idiomatically: see put, aside. 

  • To save or keep (something) to be used at a later time. 

shut one's eyes

verb
  • To ignore or deliberately overlook. 

How often have the words put aside and shut one's eyes occurred in a corpus of books? (source: Google Ngram Viewer )