Stretching is fine as long as it's not over done.
Go to far on DB flys with weight and you can be asking for shoulder issues or even possibly a pec tear.
The soreness your experiencing is probably because you don't normally use that range of motion in normal day to day activity so the muscle (pecs)are stretched beyond the normal range of motion and under pressure from weight.
Make sure on your off days you do some static stretches with arm holding a post and turn your body several times on both sides.
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