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The effects of correlations on the bulk properties of nuclei are investigated in large model spaces including up to 21 single-particle orbits. The evaluation of the single-particle Green function is made feasible by means of the BAGEL approximation. The spectral function for single-nucleon pick-up and removal is investigated for the nuclei 16 O and 40 Ca. Special attention is paid to the effects produced by correlations on the calculated ground-state properties of closed-shell nuclei. It is observed that correlations beyond the Brueckner-Hartree-Fock approximation tend to improve the results obtained using realistic nucleon-nucleon interactions.