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We securely measured the redshifts for 1419 sources and identified 76 galaxy pairs and 67 groups of at least three members using a friends-of-friends algorithm. The environment of galaxies is quantified from group properties, as well as from global and local density estimators.<\/jats:p>\n<jats:p><jats:italic>Results.<\/jats:italic> The MAGIC survey has increased the number of objects with a secure spectroscopic redshift over its footprint by a factor of about 5 compared to previous extensive spectroscopic campaigns on the COSMOS field. Most of the new redshifts have apparent magnitudes in the <jats:italic>z<\/jats:italic><jats:sup>++<\/jats:sup> band <jats:italic>z<\/jats:italic><jats:sub>app<\/jats:sub><jats:sup>++<\/jats:sup>\u2005&gt;\u200521.5. The spectroscopic redshift completeness is high: in the redshift range of [O\u202f<jats:sc>II<\/jats:sc>] emitters (0.25\u2004\u2264\u2004<jats:italic>z<\/jats:italic>\u2004&lt;\u20041.5), where most of the groups are found, it globally reaches a maximum of 80% down to <jats:italic>z<\/jats:italic><jats:sub>app<\/jats:sub><jats:sup>++<\/jats:sup>\u2005=\u200525.9, and locally decreases from \u223c100% to \u223c50% in magnitude bins from <jats:italic>z<\/jats:italic><jats:sub>app<\/jats:sub><jats:sup>++<\/jats:sup>\u2005=\u200523\u221224 to <jats:italic>z<\/jats:italic><jats:sub>app<\/jats:sub><jats:sup>++<\/jats:sup>\u2005=\u200525.5. We find that the fraction of quiescent galaxies increases with local density and with the time spent in groups. A morphological dichotomy is also found between bulge-dominated quiescent and disk-dominated star-forming galaxies. As environment gets denser, the peak of the stellar mass distribution shifts towards <jats:italic>M<\/jats:italic><jats:sub>\u22c6<\/jats:sub>\u2004&gt;\u200410<jats:sup>10<\/jats:sup>\u2006<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub>, and the fraction of galaxies with <jats:italic>M<\/jats:italic><jats:sub>\u22c6<\/jats:sub>\u2004&lt;\u200410<jats:sup>9<\/jats:sup>\u2006<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub> decreases significantly, even for star-forming galaxies. We also highlight peculiar features such as close groups, extended nebulae, and a gravitational arc.<\/jats:p>\n<jats:p><jats:italic>Conclusions.<\/jats:italic> Our results suggest that galaxies are preprocessed in groups of increasing mass before entering rich groups and clusters. 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