Reference
OpenAI's Answer
In 1730, an agreement was reached to define the boundary between North and South Carolina. The plan stipulated that the boundary line would start 30 miles south of the mouth of the Cape Fear River and would run northwest parallel to the river. This decision was formalized on January 8, 1730, but actual surveying did not commence until several years later source.
For more details, you can also visit NCpedia, which describes the initial agreements and subsequent surveys.
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