Wallabag
Read the Web Offline when it suits you
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Hunter's comment
Wallabag is an opensource offline web reader. Download the articles that interest you and reader them at your leisure, on your desktop, laptop or phone.
And it's fully compatible with your current RSS reader.
Information is stored locally, but if you need more room if can be hosted on the Wallabag hosting platform for a small yearly fee.
RSS readers might be a thing of the past but the need for them still exists. In one form or another.
Github: - https://github.com/wallabag/wallabag
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Hunter: 
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