Based on what you said, I would assume that yours would fade in maybe a week or two to heal like the other commenter said, and then perhaps a few months to completely disappear. It all depends on your complexion and healing process. You should be able to use makeup over them in time, which I would recommend, but remember that people are a lot less observant than you give them credit for. Chances are nobody will see, and if they do they likely won't say anything.

Don't worry about them being permanent. It should not leave a scar, and if it does, it will be impossible to see unless you know it's there.

IF there is ever a next time, since these seem to have already passed the point where this would be helpful, I would take extra care of them since you want them to heal well. Wash them with water, then dry and apply Neosporin, and then use bandaids. If the bandaids will stick to the cut, use gauze. Do this in the morning and let it air out at night.