The quest for powerful outflows induced by nuclear activity in galaxies is a long-distance race: outflows so destructive that may influence the evolution of an entire galaxy in a significant way. If such outflows exist, they might provide the answer to some relevant cosmological questions: why are the supermassive black hole masses correlated with some properties of the galactic bulges? how do we explain the luminosity function of galaxies? how do galaxies migrate from the blue cloud to the red sequence as time goes by? Although outflows in active galaxies (AGN) are very common, the degree to which they can cause an impact on its host galaxy is a matter of hot debate. Our recent work adds up to the controversy. I shall present our study of the ionized outflows in a sample of 18 luminous AGN at 0.3<z<0.6 based on VLT-FORS2 spectroscopy.