Do you keep DONE stories in the physical product backlog?

Question

We have our Product Backlog as a physical Kanban board with TODO & DONE column.

Some of the stories are moving from the TODO column to the Sprint backlog during our planning, and then during the Sprint review back in the Product Backlog in the DONE column for the one which we completed.

I was wondering if keeping history of DONE stories on the wall was intresting at all. It's starting to take up space Sprints after Sprints and I can't see any value from it for now.