adjudicate vs establish

adjudicate

verb
  • To act as a judge. 

  • To settle a legal case or other dispute. 

  • To seize, or convey, a debtor's estate as security. 

establish

verb
  • To appoint or adopt, as officers, laws, regulations, guidelines, etc.; to enact; to ordain. 

  • To form; to found; to institute; to set up in business. 

  • To prove and cause to be accepted as true; to establish a fact; to demonstrate. 

  • To make stable or firm; to confirm. 

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