ARCHIVING
The "Archived" state is a part of Administrative Improvements released in version 22.3 of Signals Notebook. Our "What's New" page provides some explanation on its purpose and possible workflows:
https://revvitysignals.com/srswhatsnew
For user documentation, please see our User Guide > Creating an Experiment > Working with Experiment Menu Icons > Signing Experiments > Archiving and Returning from Archive an Experiment.
TRASHING
Trashing is more like disposing of items, e.g. when they were created by mistake. If you want to delete the trashed items permanently, administrator can configure it under System Settings > Other > Deletion > check "Permanent Deletion".
The privileges to trash and archive items are explained in our System Configuration Guide > User Roles.