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We explore the nebular and physical properties of a sample of 381 galaxies between 0.70 &lt; <jats:italic>z<\/jats:italic> &lt; 2.34 drawn from the MUSE <jats:italic>Hubble<\/jats:italic> Ultra Deep Survey. The spectra of these galaxies show a wide variety of profiles of the Mg\u202f<jats:sc>II<\/jats:sc> <jats:italic>\u03bb\u03bb<\/jats:italic>2796, 2803 resonant doublet, from absorption to emission. We present a study on the main drivers for the detection of Mg\u202f<jats:sc>II<\/jats:sc> emission in galaxy spectra. By exploiting photoionization models, we verified that the emission-line ratios observed in galaxies with Mg\u202f<jats:sc>II<\/jats:sc> in emission are consistent with nebular emission from H<jats:sc>II<\/jats:sc> regions. From a simultaneous analysis of MUSE spectra and ancillary <jats:italic>Hubble<\/jats:italic> Space Telescope information through spectral energy distribution fitting, we find that galaxies with Mg\u202f<jats:sc>II<\/jats:sc> in emission have lower stellar masses, smaller sizes, bluer spectral slopes, and lower optical depth than those with absorption. This leads us to suggest that Mg\u202f<jats:sc>II<\/jats:sc> emission is a potential tracer of physical conditions that are not merely related to those of the ionized gas. We show that these differences in Mg\u202f<jats:sc>II<\/jats:sc> emission and absorption can be explained in terms of a higher dust and neutral gas content in the interstellar medium (ISM) of galaxies showing Mg\u202f<jats:sc>II<\/jats:sc> in absorption, which confirms the extreme sensitivity of Mg\u202f<jats:sc>II<\/jats:sc> to the presence of the neutral ISM. We conclude with an analogy between the Mg\u202f<jats:sc>II<\/jats:sc> doublet and the Ly <jats:italic>\u03b1<\/jats:italic> line that lies in their resonant nature. Further investigations with current and future facilities, including the <jats:italic>James Webb<\/jats:italic> Space Telescope, are promising because the detection of Mg\u202f<jats:sc>II<\/jats:sc> emission and its potential connection with Ly<jats:italic>\u03b1<\/jats:italic> could provide new insights into the ISM content in the early Universe.<\/jats:p>","DOI":"10.1051\/0004-6361\/201833281","type":"journal-article","created":{"date-parts":[[2018,6,12]],"date-time":"2018-06-12T18:43:10Z","timestamp":1528828990000},"page":"A62","source":"Crossref","is-referenced-by-count":41,"title":["The MUSE <i>Hubble<\/i> Ultra Deep Field 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