pull out vs remove

pull out

verb
  • To remove something from a container. 

  • To maneuver a vehicle from the side of a road onto the lane. 

  • To draw out or lengthen. 

  • To use coitus interruptus as a method of birth control. 

  • To withdraw; especially of military forces; to retreat. 

  • To transition from a dive to level or climbing flight. 

  • Used other than figuratively or idiomatically: see pull, out. 

remove

verb
  • To delete. 

  • To discard, set aside, especially something abstract (a thought, feeling, etc.). 

  • To murder. 

  • To dismiss or discharge from office. 

  • To move something or someone from one place to another, especially to take away. 

  • To dismiss a batsman. 

noun
  • Distance in time or space; interval. 

  • A step or gradation (as in the phrase "at one remove") 

  • (at some public schools) A division of the school, especially the form prior to last 

  • Emotional distance or indifference. 

  • The act of resetting a horse's shoe. 

  • The act of removing something. 

  • A dish served to replace an earlier one during a meal; a part of a new course. 

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