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Doesn't do what you think it does - it just turns off notifications for the conversation, you still see it on the timeline
it only works once you participate in the conversation
i tried this and have been refreshing my TL every few minutes in the hopes that it was no longer visible. alas.
thank you for doing gods work ive been shouting from the rooftops for years now how people talk about "mute this thread" a twitter feature that does not exists
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you can only mute the person 
