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Recent years have seen a major research effort towards the calculation of 2->3 processes at NNLO in QCD. In this talk I will discuss my work on the NNLO QCD corrections to diphoton-plus-jet and tri-photon production. These are the first two 2->3 processes to have been computed at NNLO in QCD. My talk will emphasise the calculation of the 2-loop amplitudes as well as the phenomenological results.