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After introducing the strong CP problem, I will focus on its solutions where a parity (P) symmetry emerges at short distances. I will present a new construction where P exchanges the entire Standard Model with its mirror copy and two new mass scales arise: v' where parity and mirror electroweak symmetry are spontaneously broken, and v3 where the color groups break to the diagonal strong interactions. I will discuss the energy scales of the model, its minimal realizations and its phenomenology. As a final remark, I will show that it contains a natural Dark Matter candidate with a non-trivial cosmological history.