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Only way I know is to set up the program to delete the items from the deleted Items folder automatically every time the program is closes.

Tools/Options/Maintenance
Apply check mark in box next to "Empty items from the 'Deleted Items' folder on exit."

You should not delete your "Deleted Items" FOLDER........
You can permanently delete individual items from the "Deleted Items" Folder, but not the folder itself. It is there to give you a chance to reconsider before actually deleting from the system.

You have deleted the "Deleted Items" FOLDER and now you cannot delete any items in your "Inbox" because there is no longer any place for them to go..........

You must re-create a "Deleted Items" folder and then they will delete from the 'Inbox" and move to the newly created "Deleted Items" Folder. You may then delete them from there or even set up the program to delete them from there automatically every time you shut down Outlook Express. But, the actual "Deleted Items" FOLDER MUST remain there.