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We find that 59% of UVJ-quiescent (i.e., non-star-forming) galaxies in the sample have [O <jats:sc>ii<\/jats:sc>] emission detected above our completeness limit of 1.5 \u00c5, and the median-stacked spectrum of the remaining sample also shows [O <jats:sc>ii<\/jats:sc>] emission. The overall fraction of sources with [O <jats:sc>ii<\/jats:sc>] above our equivalent width limit is comparable to what we find in the low-redshift universe from GAMA and MASSIVE, except perhaps at the highest stellar masses (&gt;10<jats:sup>11.5<\/jats:sup>\n                  <jats:italic>M<\/jats:italic>\n                  <jats:sub>\u2299<\/jats:sub>). However, stacked spectra for the individual low-equivalent-width systems uniquely indicates ubiquitous [O <jats:sc>ii<\/jats:sc>] emission in the higher-<jats:italic>z<\/jats:italic> LEGA-C sample, with typical [O <jats:sc>ii<\/jats:sc>] luminosities per unit stellar mass that are a factor of \u00d73 larger than the lower-<jats:italic>z<\/jats:italic> GAMA sample. Star formation at higher-<jats:italic>z<\/jats:italic> could play a role in producing the [O <jats:sc>ii<\/jats:sc>] emission, although it is unlikely to provide the bulk of the ionizing photons. 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