I think you should be able to save or "favorite" Esri blog posts to your profile. Now I just save them as bookmarks in my browser but I feel like this would be much better. Similar to "follow this idea" for esri community posts.
Top right of a post or blog... select Post Options. You can bookmark to your profile.
Login to Community, select your Avatar and then My profile. Bookmark links are on the right side.
Alternately, Select Printer Friendly Page and print to a pdf using your browser.
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