The Mikasa brand azumabito
In the manga, Mikasa's mother tells her that her symbol was passed down from generation to generation, and that she had to pass it on to her children. The detail is that she no longer wore either the mark or the bandage, so it's implicitly and logically stated that when they have children, they remove the bandage and the mark, and that same mark is passed on to their children, thus completing their lineage cycle.
Now, in the manga, Mikasa's tomb is shown wearing the bandage, so it's assumed that since she didn't complete her lineage cycle, she didn't remove the bandage.
Now, the excuses of "it's never said that you have to remove the mark" or "she didn't pass on her mark because of fear of the Jaegerists and her clan's history" are easily refuted because, firstly, Mikasa's mother states that the mark is passed down through generations, and she no longer wears either the bandage or the mark.
Secondly, on Paradis, the entire military knew that Mikasa was an Ackermann and an Azumabito, and yet, if Mikasa no longer wanted to continue her lineage, why didn't she remove the mark? Mikasa's mother no longer bore it, so what? That's why I say, whichever way you look at it, there's no excuse. Mikasa didn't remove the bandage because she never had children and only adopted orphans, probably because of the Rumbling.