draw a line in the sand vs negate

draw a line in the sand

verb
  • To indicate the threshold or level above which something will become unacceptable or will provoke a response; to create a boundary and imply or declare that its crossing will provoke a (negative) response. 

  • To lay down a challenge; to provide a test of commitment (often one which carries a high risk) to a cause. 

  • To create a real or artificial boundary or distinction between (two places, people or things). 

negate

verb
  • To be negative; bring or cause negative results. 

  • To perform the NOT operation on. 

  • To deny the existence, evidence, or truth of; to contradict. 

  • To nullify or cause to be ineffective. 

How often have the words draw a line in the sand and negate occurred in a corpus of books? (source: Google Ngram Viewer )