In what world are liberals left wing? Here in Europe liberals are all considered centrists. Even the ones that are for the well-fare state.

I've never met a liberal who was left of center

Can't say I've experienced this. According to American liberals I've talked with, communism is just about synonymous with fascism. No way I could mention that I'm a socialist, that's like an insult towards liberals here. But I also live in Georgia where they ran ads about "radical socialist anti-israel anti-American Fidel Castro supporting communist Raphael Warnock" for the entire election, and that was supposed to scare us, so... maybe there's the reason. Yes the ads were by the Heritage Foundation

When a conservative says liberal, it just means Democrat.

When someone with a vague clue says it?

Liberalism is a political ideology that holds that the primary role of government is to protect the rights of its citizens.

What those rights are, and who the liberals consider to be worthy of protection vary but as a general rule the right to private property, some form of democratic representation, due process with at least a gesture to equality before the law, freedom of religion and expression tend to be core rights.

Historically liberalism is deeply invested in capitalist and humanist thought. You could probably argue that liberalism isn't strictly required to be capitalist but quite frankly it's unlikely that will change before humanity is at the point of free energy and absolute post scarcity productivity.

The founding nations of liberalism are, roughly, America, France, and the UK and it's Commonwealth. If you want a intuitive understanding of what liberalism is in practice and reality, just think of their history in the past two centuries or so and the struggles of governance they have undergone.

Those aren't the only form of liberalism however. Social Democracy (the so called Scandinavian model) is a form of liberalism, neoconservatism (GW Bush, Romney) is liberalism (in theory), etc. Even "right wing" libertarianism is ultimately a form of liberalism, no matter how much that upsets the ones that don't know what words mean.

Anyways, political parties that officially call themselves Liberal tend to be fairly conservative by modern standards. It is a uniquely American degeneracy sponsored by Reagan that sought to call progressives liberals.

One might note that you can broadly characterize the defining ideologies of the past century into three broad categories.

Liberalism, Socialism, Fascism.

When a supposed ideological liberal like Reagan and his successors, modern conservatives say no, actually, I hate liberals and I REALLY hate socialists you should believe what they tell you, and consider what that makes them.