entrench vs put two cents in

entrench

verb
  • To surround or provide with a trench, especially for defense; to dig in. 

  • To establish a substantial position in business, politics, etc. 

  • To dig or excavate a trench; to trench. 

  • To invade; to encroach; to infringe or trespass; to enter on, and take possession of, that which belongs to another; usually followed by on or upon. 

  • To cut in; to furrow; to make trenches in or upon. 

  • To become completely absorbed in and fully accept one's beliefs, even in the face of evidence against it and refusing to be reasoned with. 

put two cents in

How often have the words entrench and put two cents in occurred in a corpus of books? (source: Google Ngram Viewer )