  Every classical knot is band-pass equivalent to the unknot or the trefoil.
The band-pass class of a knot is a concordance invariant. Every ribbon knot,
for example, is band-pass equivalent to the unknot. Here we introduce the long
virtual knot concordance group $\mathscr{VC}$. It is shown that for every
concordance class $[K] \in \mathscr{VC}$, there is a $J \in [K]$ that is not
band-pass equivalent to $K$ and an $L \in [K]$ that is not band-pass equivalent
to either the long unknot or any long trefoil. This is accomplished by proving
that $v_{2,1}+v_{2,2} \pmod 2$ is a band-pass invariant but not a concordance
invariant of long virtual knots, where $v_{2,1}$ and $v_{2,2}$ generate the
degree two Polyak group for long virtual knots.
