Complex sentence: One of those moves included an installation at the Clark County Historical Museum and a petition for its inclusion on the historical register was approved in 2002, which was re-approved by the commission in 2007 when it moved to its current site.
Split into simpler sentences: One of those moves included an installation at the Clark County Historical Museum in 2002. Also in 2002, they petitioned for its inclusion on the county's historical register, that was approved, and it was re-approved by the commission in 2007 when it moved to its current site.