Not only does the Confession assume a covenant of works in chapter seven; not only was the covenant of works a prevalent doctrine within Reformed Protestantism; and not only was the covenant of works explicitly maintained by one of the editors of the 2LBCF. The covenant of works is explicitly mentioned in the 2LBCF as a covenant that actually existed between God and man in the garden prior to, and even after, the fall.
Chapter seven in the Confession does not mention the covenant of works explicitly simply because it doesn’t have to. Chapter seven is about the covenant of grace, not the covenant of works or any other covenant. Rather, for whatever reason, it is elsewhere the framers of the 2LBCF felt the need to mention the covenant of works in contradistinction to the WCF, and it is that chapter to which readers must turn in order to see a covenant of works in the 2nd London Confession of Faith.