engage vs join

engage

verb
  • To attract, to please; (archaic) to fascinate or win over (someone). 

  • To enter into conflict with (an enemy). 

  • To come into gear with. 

  • To enter into (an activity), to participate (construed with in). 

  • To draw into conversation. 

  • To mesh or interlock (of machinery, especially a clutch). 

  • To guarantee or promise (to do something). 

  • To engross or hold the attention of; to keep busy or occupied. 

  • To arrange to employ or use (a worker, a space, etc.). 

  • To bind through legal or moral obligation (to do something, especially to marry) (usually in passive). 

  • To enter into battle. 

join

verb
  • To accept, or engage in, as a contest. 

  • To unite in marriage. 

  • To produce an intersection of data in two or more database tables. 

  • To come into the company of. 

  • To come together; to meet. 

  • To become a member of. 

  • To connect or combine into one; to put together. 

  • To enter into association or alliance, to unite in a common purpose. 

noun
  • An intersection of data in two or more database tables. 

  • The act of joining something, such as a network. 

  • The lowest upper bound, an operation between pairs of elements in a lattice, denoted by the symbol ∨. 

  • An intersection of piping or wiring; an interconnect. 

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