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If you want to maintain the formatting, you could print-screen shorter articles to an image and attach them to your email. There are many add-on tools that will provide you with fine control for composition and editing. I'm on Windows and I use one called "Snip & Sketch". I'm not recommending it because there are probably similar tools that are easier to use.
You could copy out the text (CTRL+C) and paste it into your email (CTRL+V), but you would most likely lose formatting, The results could be ugly and difficult to read. As @KellytheBelly said, sending URLs is one of the better ways to do it.
One question that comes to mind is, without apps like FaceBook and Twitter, how are you seeing these articles that you wish to share? Are you seeing links on web pages and finding that you can't follow them yourself? If you can't see the articles, I don't see how you can share them.
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