general relativity - Why don't orbits expand with the Universe?

Consider two bodies orbiting each other.

As the Universe expands would the distance between them increase?

Most people say that a gravitationally bound system will not expand with the Universe. They say that such a system is not described by the FRW solution.

But surely one could consider two orbiting bodies that are sufficiently far away that the spacetime between them could be approximately described by the FRW solution? In this case the recession velocity would be of the same order as the orbit velocity.