invalid vs logical

invalid

verb
  • To make invalid or affect with disease. 

  • To exempt from (often military) duty because of injury or ill health. 

adj
  • Not valid; not true, correct, acceptable or appropriate. 

  • Suffering from disability or illness. 

  • Intended for use by an invalid. 

logical

adj
  • In agreement with the principles of logic. 

  • Relating to the conceptual model of a system rather than its physical expression 

  • Of or pertaining to logic. 

  • Reasonable. 

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