In the new trailer we see Logan at the very end holding hands with a girl (sorry I don't know who she is), also throughout the clip we see his beard and there are quite a lot grey hairs in it:
1 Answer
Yes.
There are hints in the trailer, particularly part of Logan's voiceover:
Logan: Charles, the world is not the same as it was. Mutants, they're gone now.
that strongly imply that a lot of time has passed since the last time we saw Logan (chronologically, the end of Days of Future Past). In addition, the movie itself is based heavily on the Marvel comic story "Old Man Logan", which tells the story of Logan in a distant dystopian future.
Lastly, the writers have explained the reason behind Logan's scars as being an effect if his age:
So we questioned whether Logan’s healing factor causes him to heal without even a scar. We imagined that it may have when he was younger, but with age, he’s getting older and ailing.