I assume you meant "influence," but I always like to check to make sure something like this isn't a word I'm just not familiar with (it does happen, every now and again). I plugged in "invludence" in Google and got 7 hits. In each case it's an obvious typo where influence is meant, but that also means that it's a common touch typing error. Thank you QWERTY keyboard.
invludence - it's a combination of influence and indulgence, as in "The DBM likes to indulge themselves by influencing the sheeple and so-called mainstream Americans.
LOL! Sorry about that - I know - more coffee and spell check is my friend :-)