Does anyone know how to join these surfaces

post a .3dm file
it s hard to help from a screenshot

_blendSrf might be startingpoint.

but the trimming - especially from the torus-like surface does not seam to be a nice preparation for _blendsrf.

If you model the surfaces so they intersect (or untrim them)
_filletEdge
_filletSrf
_blendEdge
are a starting point to get a visual idea how a trimming might look.

improve the trimming and try _blendSrf again

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