  We simulate the future evolution of the observed inhomogeneities in the local
universe assuming that the global expansion rate is dominated by a cosmological
constant. We find that within two Hubble times (~ 30 billion years) from the
present epoch, large-scale structures will freeze in comoving coordinates and
the mass distribution of bound objects will stop evolving. The Local Group will
get somewhat closer to the Virgo cluster in comoving coordinates, but will be
pulled away from the Virgo in physical coordinates due to the accelerated
expansion of the Universe. In the distant future there will only be one massive
galaxy within our event horizon, namely the merger product of the Andromeda and
the Milky Way galaxies. All galaxies that are not gravitationally bound to the
Local Group will recede away from us and eventually exit from our event
horizon. More generally, we identify the critical interior overdensity above
which a shell of matter around an object will remain bound to it at late times.
