duly vs eo ipso

duly

adv
  • In a due, fit, or becoming manner; as it ought to be; properly. 

  • Regularly; at the proper time. 

eo ipso

adv
  • Through or by that very act or quality; thereby. Compare: ipso facto. 

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