There's a lot of bad information out there regarding knives, particularly as pertains to the longevity of a knife's edge.
You came to the right place! Pardon the length of my message; I'm bored and knife usage is my favorite part of cooking.
Meat processing doesn't typically dull my knives very quickly. I think there's another issue going on here.
A few questions for you-
1) what kind of knife are you using?
inexpensive kitchen knives usually have low grade steel (poor heat treatment, bad grind, etc) which dulls faster than most midgrade quality knives... if it was even sharp to begin with.
You don't have to spend a fortune on a kitchen knife, but in my experience I expect a quality chef's knife to cost me 50-100 bucks.
I love my Zwilling Twin Signature 8" chef's knife and the edge retention has been satisfactory.
2) what kind of cutting board are you using?
edges and hard surfaces (bone, countertops, metal sinks) do not mix.
3) Do you sharpen your knife on a stone, 'sharpening' steel, or neither?
Knife edges need fairly active maintenance. A sharpening steel can increase longevity of an edge, but eventually the knife will have to be sharpened on a stone again.
4) Was the meat you were processing "bone in"?
(see comments on #2) Bone can wear down edges quickly, which is why cleavers exist.
5) When you put your knife in your sink, or lay it down on the counter, do to take special care to make sure the edge doesn't bang on the hard surfaces?
(see comments on #2) My wife doesn't understand why I gasp every time she drops a knife into the sink. I just shake my head and go get my sharpening stones.
6) you don't run your good knives through the dishwasher, right?
A quick and related story- I was talking to my inlaws about their kitchen knives, and my mother in law tells me that her chef's knife never cut very well.
Out of curiousity I ask, "when was the last time it was sharpened?".
She responds, "I don't think it's ever been sharpened".
I ask, "oh, well when did you get it?"
"Oh, we've had that thing for maybe 20 years."
So you know what they did? they went off and got an expensive Cutco knife set, buying into the myth that these 'legendary' knives have magical edge retention capabilities.
After a few years of daily use and no sharpening and they're just as dull as any knife would be.