Unfortunately, unless you have some sort of third party product installed, they go bye-bye.
It may be possible to restore them on the remote storage device, whether another computer or external drive or what not by using a product made to undelete files. It is tricky but the longer you wait, the less of a chance you will have in getting the file back as the location of the storage device will get used again and whatever was there before will be gone.
TJ