  The spectrum of hypernuclear trios composed of a $\Lambda$ baryon and two
nucleons is the subject of an ongoing experimental campaign, aiming to study
the interaction of the $\Lambda$ particle with a neutron, and the 3-body
$\Lambda$-nucleon-nucleon force. In this manuscript we utilize baryonic
effective field theory at leading order, constrained to reproduce the available
low energy light hypernuclear data, to study the continuum spectrum of such
hypernuclear trios. Using the complex scaling method and the inverse analytic
continuation in the coupling constant method we find the existence of a virtual
state in the $\Lambda n p$ $J^{\pi}=\frac{3}{2}^{+}$ channel, leading to
cross-section enhancement near threshold. For the $\Lambda n n$
$J^{\pi}=\frac{1}{2}^{+}$ channel we predict a resonance state. Depending,
however, on the value of the $\Lambda N$ scattering length, the resonance pole
moves from the physical to the unphysical complex energy sheet within the
experimental bounds.
