Animating a freeform line

Is there a way to animate a line so it appears to be drawing a path that isn't straight? I typically use the wipe animation on lines that I draw that go from one side of the page to the other, but this particular line is looping back around and heads back in the direction it started (it's tracking a travel path from start to end where the start and end positions are on the same side of the page - a loop of sorts). The issue is that it animates the start and finish points at the same time, thus not drawing a "path" from start to finish, but rather 2 lines that meet in the middle. Any suggestions?? 

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