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Barrel length only has two very minor effects on recoil.
1) The length theoretically changes velocity, longer is faster, shorter is slower. Faster produces more recoil, slower less. However, the difference in recoil is minimal and sometimes you get almost no change in velocity with different length barrels.
2) Longer barrels weigh more. Heavier is less recoil. Again, the effect is extremely minimal. A couple ounces of barrel doesn't effect much of anything in terms of recoil on your shoulder.
3) Notice how #1 and #2 are opposite, meaning they cancel each other, both effects being already minimal and then you realize they negate each other.
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