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The basic idea Napoleon III is either never return from exile, he breaks his neck escaping in 1846, or he gets kick out of France again in 1848 by the Provisional Government. With this, the Party of Order takes over, and bring back the Kingdom and the Orleanist by the mean of either Prince Philippe, Count of Paris, or François d'Orléans, Prince of Joinville.
So what now? How will France, and Europe look like? How would Philippe, or François rule?