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Possibly too steep of an angle when placing the blade to your skin. Shave the lather, light touch. This is the reason for multiple passes.

Absolutely, there where times I would look at mine and have a pink line on my face! Scary little buggers.

Honestly I bet you won't even notice those, they don't look serious from here. The only time I've left a scar to speak of was with a shavette and its a fine white line that I bet I can even find any...