But from my calculations, if he was in boxes yesterday, he initially thought about moving Wednesday, and Big Top moved in on Tuesday. I know about it when villager moves away, though. For villagers moving away, it seems to be around 10-12 Days before they ask to move! And I didn't time travel. When Rodney moved, it was way more likely to happen because I time traveled.
Do you time travel? Villagers don't see dates, just days. So if you time travel it counts days, including going back in time. Example. Current date 14 Oct, move out date 17 Oct. You go back in time 2 days to 12 Oct, the new move out date will be 15 Oct.
Essentially one day, forward or back, is one day. The date is how many days until the villager leaves, not the date they will leave on. They don't go by set dates, just x amount of days.
So with that example, 17th-14th is 3 days until they leave. No matter how far you go back they will still leave in 3 days. My above comment is still the same for time travel. This is set, no mater when they've pinged or when you deny. Each villager, once on the move out track, has 1-7 days before they will leave. This is why some villagers move out dates are 5 days away, and some only 2 from their pings.
Also mentioned above, my 100% safe way of keeping villagers still stands. 3 days, no matter what date, after I deny someone, there may be someone on the move out path.
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Days only technically count for moves out when going forward, not back. You can go back day by day and no one should leave. At least I've never has that happen anyway. But going forward takes one day off their counter, regardless of dates they say. Essentially, if a villager told you today they were leaving on the 18th and you say yes, they will leave in 4 days no matter what date you travel back to. Again, this is only from my personal experiments and experience.
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Now, I'm not saying if you go back in time no one will ask to move. I'm just saying dates mean nothing, its the amount of days that go by that do.
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What's happened in you game, I've legit never seen. There has to be some kind of time travel involved. Unless you invited someone in during a move out path. That will cause some weirdness to happen. I've also never seen or heard of a villager asking to move more then 7 days in advance ._.