Sync files on the desktop to a network share

Our firm has a policy that tells users that they should not be saving files locally to their Desktop or My Documents folder. Of course the users do not always listen and they will keep important files on their local drive. Sometimes the hard drive dies and they lose everything that they kept on their local machine. We would like to come up with a way to have a sync going between the users Desktop and My Documents folder to a networked drive so that the files can reside locally but copies will be made to our network drive. This allows the users to work on the files when they are offline and the sync can occur when they are back on the network. We would prefer not to use any sort of applications to do this. Is there a way to do this?