Earlier quoted context omitted.
They don't... private property isn't the same thing as personal property. Anarchists aren't against personal property.
How about a second car? How about a second residence?
My reason teaches me that land cannot be sold. The Great Spirit gave it to his children to live upon, and cultivate, as far as necessary for their subsistence; and so long as they occupy and cultivate it, they have the right to the soil—but if they voluntarily leave it, then any other people have a right to settle upon it. Nothing can be sold but such things as can be carried away.
Locke[1] also believed that people shouldn't be able to own things that they don't personally use or hoard resources if they are scarce.