Creating feature from part of state boundary in shapefile of U.S. states?

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I have a shapefile of U.S. states. I want to create a feature layer from it so that I can do a Near analysis with it.

Suppose that I am interested in the Georgia boundary, but only the part of Georgia that touches South Carolina? How could I extract just that segment?

Or, suppose I am additionally interested in the part of Georgia that touches both North Carolina and South Carolina but not at all Alabama, Tennessee, or Florida?



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