Old style cassettes (cog on back wheel) were screwed into the hub, having the drivetrain on the right means chain pressure tightens the cassette instead of loosening it. Using modern designs there is no advantage, but LHD needs twice the number of frame, chainring, cassette, derailleur and hub designs.
In the last decade or so left hand drive BMXs have become available, these keep the drivetrain out of the way when grinding if you prefer to grind on the right side of the bike, this makes the extra design time worth it.
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