네 예리한 지적입니다. ^^
https://en.wikipedia.org/wiki/Louisiana_Purchase
위 링크에 가보시면 자세한 내용이 있는데요, 발췌해 보면 아래와 같습니다.
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The Kingdom of France had controlled the Louisiana territory from 1699 until it was ceded to Spain in 1762.
In 1800, Napoleon, then the First Consul of the French Republic, regained ownership of Louisiana
as part of a broader project to re-establish a French colonial empire in North America.
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French-Insian War 이후 스페인에 넘겼다가 나폴레옹때 다시 장악했다는 설명이네요. 이해되셨죠?