close out vs leave out

close out

verb
  • To exclude by blocking all opportunities to enter or join. 

  • To terminate; to call the end of. 

  • To terminate a computer program. 

  • To make trades offsetting an existing position, leaving the trader with a neutral position. 

  • Of a wave, to break all at once, instead of progressively along its length. 

  • To seal off. 

  • Synonym of close (“to make a sale”) 

leave out

verb
  • To omit, to not include, to neglect to mention. 

  • Used other than figuratively or idiomatically: see leave, out. 

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