Some many people have found that their loved ones belongings come up missing when they are in a facility for many reasons.
If it is memory care and the residents are free to wander the facility I was thinking it might be a good idea to lock the door to the patient's room.
The way i think it could work would be to install a digital lock on the door that can only be opened with a key code just as some cars can be started as long as you have the key in your pocked.
This could work by applying a secure wrist band to the patients wrist so the patient would be freely able to go in and out as there would be a code on the wrist band that activated the lock. Staff would have a master code card that allowed easy entrance to the room at any time.
It might be somewhat costly to set up but hotels use similar systems all the time.
I am afraid it would not help with laundry mix ups.