Why did the Peace of Stolbovo lead Orthodox inhabitants of Karelia to flee to Russia?

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Following the Peace of Stolbovo in 1617, the kingdom of Sweden-Finland acquired Ingermanland and parts of Karelia from Russia. The inhabitants of these newly ceded territories were primarily of the Greek Orthodox faith.1

The Swedish government subsequently initiated a policy of forceful conversion to Lutheranism, which led many of the Orthodox population to flee to Russia to escape religious persecution. These departing inhabitants were eventually replaced by Lutheran Finns.1