The enroute charts used to be printed on paper (and still available on paper via special order). They are still broken up into several maps by the publishers. Websites like SkyVector take those charts and stitch them together. L-xx and H-xx is just simply the charts designation.
Edit to add: The L means 'low' (Below 18,000') and H means 'high' (Above 18,000')
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The black and blue lines are airways. You can think of them as highways in the sky. Before GPS aircraft primary navigated via ground based navigational aids, the limitation being that you only know courses to and from the station. Like spokes on a bike.
The black lines like V354 below are predicated on ground based navigation aids. The blue lines like T422 are predicated on GPS. Airways still exist to this day because they are still a convenient way to organize aircraft and minimize conflict. As an airline pilot I use them frequently in the Northeast US and Southern California, high traffic and often congested airspace.
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