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Abstract Since the LHCb collaboration announced the observation of the doubly charmed baryon $$\Xi _{cc}^{++}$$ Ξcc++ , a series of studies of doubly heavy baryons have been presented. In this work, I analyse the non-leptonic weak decays of doubly heavy baryons $$\Xi _{bc}$$ Ξbc and $$\Omega _{bc}$$ Ωbc under the flavor SU(3) symmetry. I mainly focus on the W-exchange diagrams, which will contribute to the decay channels with final states are light meson and light baryon. These channels would be helpful for searching for $$\Xi _{bc}$$ Ξbc and $$\Omega _{bc}$$ Ωbc at LHC. And these channels and relations of corresponding decay widths could be examined by the future experimental facilities such as LHC, Belle II and CEPC.