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When people walk they leave footprints like on the left. But when they start climbing hills their feet splay out like on the right. Do you do that? It's not good and you end up using muscles that you don't normally and they get sore. I used to do this and was corrected by a hiker. I think there is the feeling that you get better traction but I was told it's also not efficient.
Then there could be a lactic acid build up causing soreness.