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A Tychonoff space X has been defined by Blair and van Douwen to be nearly realcompact if βX−υX is dense in βX−X. We extend this concept to frames. Notwithstanding the appearance of remainders in the definition – notions which do not exist, in general, in the category of frames – we obtain a conservative definition of nearly realcompact frames. We give several frame-theoretic characterisations of these...