cut out vs remain

cut out

verb
  • To leave suddenly. 

  • To take a ship out of a harbor etc. by getting between her and the shore. 

  • To intercept. 

  • To arrange or prepare. 

  • To remove, omit. 

  • Used other than figuratively or idiomatically: see cut, out. To separate into parts with or as if with a sharp-edged instrument; sever. 

  • To refrain from (doing something, using something etc.), to stop/cease (doing something). 

  • To oust, to replace. 

  • To separate from a herd. 

  • To stop working, to switch off; (of a person on the telephone etc.) to be inaudible, be disconnected. 

adj
  • Well suited; appropriate; fit for a particular activity or purpose. 

remain

verb
  • To await; to be left to. 

  • To continue in a state of being. 

  • To continue unchanged in place, form, or condition, or undiminished in quantity; to abide; to stay; to endure; to last. 

  • To be left after a number or quantity has been subtracted or cut off; to be left as not included or comprised. 

  • To stay after others or other parts have been removed or otherwise disappeared. 

noun
  • That which is left; relic; remainder. 

  • That which is left of a human being after the life is gone; relics; a dead body. 

  • Posthumous works or productions, especially literary works. 

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