Archived tickets are the ones which have been inactive in your helpdesk for a time period of 120 days. Please go to the 'Archive' view under the Tickets tab.
Clicking on this view will take you to a page where you can apply the required filters.
Hit 'Next' once you're set. Choose the fields you need the values for and hit 'Export' to export the file.
If you face any difficulties with receiving this export email, feel free to write to us at support@freshdesk.com.