"The previous owner of my house" means "the owner of my house whose ownership of said house immediately preceeded my ownership of it"; this is because of the presence of the definite article. On the other hand, "a previous owner of my house" could be anyone who has at some point owned my house but currently does not. Similarly "my previous post" is not equivalent to "my last post", it could refer to any one of my past posts, determined by context. Unlucky.
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