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Although the last significant battle took place in 1781, the treaty ending tye war was signed in

User BigglesZX
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Answer:

1781

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User Jeru Luke
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Guilford Courthouse, North Carolina
On 15 March 1781, the Americans inflicted heavy losses on the British, forcing General Cornwallis to retreat. He then changed his plans, and began his ill-fated invasion of Virginia, resulting in his defeat at Yorktown.

Charles Cornwallis
The British surrendered at Yorktown on 19 October 1781. Although fighting continued for more than a year, the surrender effectively ended British hopes for a victory.
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