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Selecting lines based on overlap counts

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Hello all. I've run into a situation that I need some help on. I have a dataset with 100,000 lines and need to find the length of lines where there are 4 or more lines overlapping each other.

I ran a topology with the Must Not Overlap rule in order to find the lines that do overlap. I then exported the topology errors into its own feature class. Now, however, I'm at a loss as to how to select only the lines with 4 or more overlapping each other spatially. Any ideas would be welcome. Thanks!

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