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It is a basic question in geometric group theory to classify (families of) finitely generated groups up to quasi-isometry.  We compute a quasi-isometry invariant called Bowditch's JSJ tree for certain Gromov hyperbolic right-angled Coxeter groups.  This invariant uses the topological structure of the boundary at infinity of the group.  We also identify a subfamily for which Bowditch's JSJ tree is a complete quasi-isometry invariant.  Consequently, the quasi-isometry problem is decidable for this subfamily.  This is joint work with Pallavi Dani (Louisiana State University).