  A set of 41 nearby stars (closer than 25 pc) is investigated which have very
wide binary and common proper motion (CPM) companions at projected separations
between 1000 and $200 000$ AU. These companions are identified by astrometric
positions and proper motions from the NOMAD catalog. Based mainly on measures
of chromospheric and X-ray activity, age estimation is obtained for most of 85
identified companions. Color -- absolute magnitude diagrams are constructed to
test if CPM companions are physically related to the primary nearby stars and
have the same age. Our carefully selected sample includes three remote white
dwarf companions to main sequence stars and two systems (55 Cnc and GJ 777A) of
multiple planets and distant stellar companions. Ten new CPM companions,
including three of extreme separations, are found. Multiple hierarchical
systems are abundant; more than 25% of CPM components are spectroscopic or
astrometric binaries or multiples themselves. Two new astrometric binaries are
discovered among nearby CPM companions, GJ 264 and HIP 59000 and preliminary
orbital solutions are presented. The Hyades kinematic group (or stream) is
presented broadly in the sample, but we find few possible thick disk objects
and none halo stars. It follows from our investigation that moderately young
(age $\lesssim 1$ Gyr) thin disk dwarfs are the dominating species in the near
CPM systems, in general agreement with the premises of the dynamical survival
paradigm. Some of the multiple stellar systems with remote CPM companions
probably undergo the dynamical evolution on non-coplanar orbits, known as the
Kozai cycle.
