Accoring http://help.trello.com/article/747-exporting-data-from-trello-1 there should be a menu item "Print and export" unter menu > more.
For some reason none of my Trello boards does contain this menu item
What can I do to activate it?
That's definitely odd that it's not appearing there. Do you have the same issue regardless of the browser you're using?
If it is a consistent problem across your browser, go ahead and contact support at trello.com/contact and we can help you troubleshoot.
I hope that helps!
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