A right libertarian believes that the best government is the smallest and most local, and that the government cannot and should not regulate sex, drugs, guns, or businesses.

A left libertarian believes that the best government is one that regulates the economy, protects the public commons, and safeguards the rights of minority groups but otherwise leaves people alone to do as they will.

I'm much more familiar with the former, so if I've erred in describing the latter someone please correct me.

It’s contextual: government can be used for right-wing or left-wing purposes, and people opposed to those uses can use libertarianism as a justification whether the actual policies they’re opposing are right- or left-wing. But that means people with right- or left-wing sympathies can selectively target policies they disagree with on purely sectarian grounds, while disingenuously claiming libertarianism as a motivation.

Decades of propagandization

In my opinion what defines libertarianism overall is being non-statist and a belief in markets dictating all of life.

Left libertarianism is just progressive on social issues.

Libertarianism is inherently conservative and right. There is no such thing as a leftist libertarian. The closest you can get is a purely socially left one.