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Your brain was never designed for this much bad news
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So for those style websites, FreshRSS (my server)/and CabyReader (my client) offer options to parse the linked article for content.
They mostly get the full article without tinkering but other sites I use css selectors to get the article section of the website.
Then I press the "parse" button if the article is just a summary and it'll get the whole article.
That said, I do put more emphasis on following individuals rather than large sites like those you mentioned. So I have a couple dozen individual blogs followed, but also a handful of sites like NewScientist, BigThink, AndroidPolice, TinyBuddha, VICE