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Missile says he has investigated as detective and Edea is mafia. But Edea claims inno.
Missile has just lynched inno Levi so far.
After the no-lynch, Levi said he was detective and had investigated Legion to be mafia. Nobody counterclaimed - not even Missile, who must have understood Levi claimed to be detective because of the half-ripped photo. Missile knew Levi was either VIP or inno Komaeda so perhaps he investigated Levi and discovered he was inno.
But if Missile learned Levi was inno, why does he still explain to K that Levi is bad? Also, why wait so long?
[THE CRUX OF EDEA'S CLAIM: MISSILE WAS ORIGINALLY THE DETECTIVE BUT IS NOW THE CONVERT]
Converting Missile is independently a great idea for the mafia since literally the entire town considered him clear and would be reluctant to kill him.
Now, the town was totally prepared to lynch Legion on Levi's word, and the mafia could have let that happen and Levi would have completely discredited himself and been lynched on day 3. Therefore, Legion being lynched must be an undesirable outcome for the mafia.
[EDEA'S OTHER CONCLUSION: LEGION IS MAFIA AFTER ALL]