go hand in hand vs stipulate

go hand in hand

verb
  • Of two things, to be closely related or to go together well; see hand in hand. 

  • Of two people, to hold hands. 

stipulate

verb
  • To mutually agree. 

  • To ask for a contractual term. 

  • To require (something) as a condition of a contract or agreement. 

  • To specify, promise or guarantee something in an agreement. 

  • To acknowledge the truth of; not to challenge. 

adj
  • Having stipules; that is, having outgrowths borne on either side of the base of the leafstalk. 

How often have the words go hand in hand and stipulate occurred in a corpus of books? (source: Google Ngram Viewer )