Export your current deck.
Create a new profile and then import the backup there.
Then, export the entire deck. Now, create a new profile and import the first export and then the second export. Voila, you have the cards that have been deleted.
You can completely skip the 1st step and first half of the 3rd step if you wish to import to your main profile. I guess syncing before you do the other parts and then forcing a sync after you’re done could work.