We propose a phenomenological three-level mixing model of unperturbed 0p0h, 2p2h and 4p4h states, to describe the low-lying 0 + states in 32 Mg. Within this approach, self-consistent solutions exist that provides good agreement with the available experimental information obtained from the 30 Mg(t,p) 32 Mg reaction. The inclusion of the third state, namely the 4p4h configuration, resolves the "puzzle" that results from a two-level model interpretation of the same data. In our analysis, the 32 Mg ground state emerges naturally as dominated by intruder (2p2h and 4p4h) configurations, at the 95% level.