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Once you leave the University you will no longer be able to download the desktop version of EndNote but you will be able to use EndNote Online.
While at University you have access to the premium EndNote Online version. Once you leave you will have access for up to one year - after this will revert to the basic free version (see comparison). Create an EndNote online account (via your Desktop account or Web of Science) or log in to your current account (while at Uni) before you leave.