Ok, but you're mixing up the ideologies again.
"Communism" was violent revolution, public ownership of means of production and central planning of everything in economy, from tractors to toilet paper. If you can own a firm privately, it's simply not communism.
"Socialism" today is meaningless so let's forget it.
"Social democracy" is capitalist, market economy with varying focus on social protection and public services. This is probably 90% of high income countries today.