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That's actually a feature that washing machines have had for a while - "generative washing" - it is where the extra odd socks come from.
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> extra odd socks

I have the opposite issue, can generative washing recover the lost odd socks somehow?

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Common misconception, the socks you think you're losing are being found by other people's washers.
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Socks are not getting lost; they are getting compacted to keep the context window small.
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My LG one has had smomething like that - a coupkle of years old. Seems quite nifty though - it tumbles the load dry for a while and alledgely uses the patterm of weight shift to determine what kind of load it is - the materials etc - and adjusts the wash accordingly
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