Marx is clear about this, BTW. The distinction between private property (i.e. capital) and personal property, is that personal property is owned for its use value (you own a trenchcoat to protect yourself from the cold, or you own a house to live in it), whereas private property is owned for its monetary revalorization capability (you own a trenchcoat to rent it in a costumes store, you own a house to rent it to someone else). The same object can be used for its use value, and then it’s it’s personal property; or it can be used in the capital revalorization cycle, and then it’s private property.
Marx is clear about this, BTW. The distinction between private property (i.e. capital) and personal property, is that personal property is owned for its use value (you own a trenchcoat to protect yourself from the cold, or you own a house to live in it), whereas private property is owned for its monetary revalorization capability (you own a trenchcoat to rent it in a costumes store, you own a house to rent it to someone else). The same object can be used for its use value, and then it’s it’s personal property; or it can be used in the capital revalorization cycle, and then it’s private property.