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America is the only country in which "liberal" is thought have any relationship to "left."That's simply not true. Because "liberal" is a word that means many different things in many different countries, it's a famously malleable term.
For example, Wikipedia says (emphasis mine):
> The definition of liberal party is highly debatable... This is a broad political current, including left-wing, centrist and right-wing elements. All liberal parties emphasise individual rights, but they differ in their opinion on an active role for the state. This list includes parties of different character, ranging from classical liberalism to social liberalism, conservative liberalism to national liberalism... [1]
Indeed, a quick search for the term "left" on that page shows that "liberal" is used to describe leftist parties in the Bahamas, Canada, Chile, Colombia, Puerto Rico, Trinidad and Tobago, Croatia, and North Macedonia at least. It's not just an American thing.
[1] https://en.wikipedia.org/wiki/Liberal_parties_by_country