  It is an important open problem to understand the landscape of non-Abelian
fractional quantum Hall phases which can be obtained starting from physically
motivated theories of Abelian composite particles. We show that progress on
this problem can be made using recently proposed non-Abelian bosonization
dualities in 2+1 dimensions, which morally relate $U(N)_k$ and $SU(k)_{-N}$
Chern-Simons-matter theories. The advantage of these dualities is that regions
of the phase diagram which may be obscure on one side of the duality can be
accessed by condensing local operators on the other side. Starting from parent
Abelian states, we use this approach to construct Landau-Ginzburg theories of
non-Abelian states through a pairing mechanism. In particular, we obtain the
bosonic Read-Rezayi sequence at fillings $\nu=k/(kM+2)$ by starting from $k$
layers of bosons at $\nu=1/2$ with $M$ Abelian fluxes attached. The Read-Rezayi
states arise when $k$-clusters of the dual non-Abelian bosons condense. We
extend this construction by showing that $N_f$-component generalizations of the
Halperin $(2,2,1)$ bosonic states have dual descriptions in terms of
$SU(N_f+1)_1$ Chern-Simons-matter theories, revealing an emergent global
symmetry in the process. Clustering $k$ layers of these theories yields a
non-Abelian $SU(N_f)$-singlet state at filling $\nu = kN_f / (N_f + 1 +
kMN_f)$.
