Thanks for reaching out about this to the Community.
Note that there are several reasons why you might see the same song come up in your Discover Weekly more than once.
One of them is that the song was released as part of multiple albums. Because of this it's identified by the system as a separate track. It's also possible that the song got removed and re-uploaded with a different version.
In order avoid this from happenings and to get more diverse recommendations on your Discover Weekly in general, we suggest that you do the following:
Unfollow your Discover Weekly playlist, and then follow it again under 'Browse > Discover'
By following these steps and expanding your music collection you can give the algorithm a little push and should start seeing new suggestions, more in synch with your taste after a couple of integrations of your Discover Weekly.
In order to be able to better address your individual issues with the playlist, we're closing off this thread for new comments. If you continue to experience any difficulties, you can always create a new thread in the relevant help board.