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If one googles the word encomprises, there are 5K+ pages, that have this word. I personally have heard people in the USA use it with a meaning of include.
Official dictionaries, on the other hand, only have the word comprise.
Is "encomprise" just a verb form of "comprise", making the use of "encomprises" a mistake?
Therefore, I strongly suspect that it is an eggcorn meaning encompass, but influenced by comprise. Encomprise is not an accepted word in modern English.
You have googled "encomprise". I've got results that are meaningful when googled "encomprises". Most of the results are from a non-english sites, so I can assume this is what non-native speakers, like myself, would logically "make up" for comprise. Still I am positive people in Missouri have used it. Thank you for the answer by the way.
A common form of this "verb" is encomprising which gets 130 actual results in Google Books, of which a high proportion seem to be by Indian or far Eastern authors. I'm not sure I'd say it's emerging Indian English as such - they're probably just more prone to the error.