Deleted files not deleted from backup

Finally decided to go with Norton Online Backup after previewing two backu programs at the same time.  Norton support is decidedly much more responsive and helpful.  That said I have a suggestion.

I understand that if I delete a file in a folder, It will not be deleted from the online backup.  I would like anything I delete on my computer, to be deleted from the online backup.  If I should have to restore my files, I would have to go through the cleanup process all over again.  Perhaps, you could keep the file for x number of days before deleting it, in ccase it was accidently deleted.

Thanks for considering my request