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How to get separate features from multiple intersect with polygon and polyline?

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I have wetlands data in a polygon feature and a road alignment in a polyline feature. I would like to make a new feature class for all the crossings and output this as a polyline. With this, I can calculate geometry and get lengths of my crossings.

This all seems to work with the intersect function, but one problem:

Some of the polygons are crossed multiple times by the alignment. When this happens, the intersect output returns one feature with many separate crossings. For example, I could have three crossings at 50' each, but the intersect function gives me one feature with a 150' length.

I'll attach a few screenshots to show this:
Attachment 29118

I don't have alot of experience with geoprocessing, so I assume there's a fairly simple way to break the crossing features into one feature for each of the lines.

I don't want to break the line at all the vertices, because I may have a vertex in the middle of a crossing.

Thanks in advance for any help you can provide!
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