No, they remain distinct legal concepts, although they are administered in the same courts. The Judicature Acts 1873-75 'fused' the administration of common law and Equity, meaning any court can now apply both sets of principles and grant both common law remedies (like damages) and equitable remedies (like injunctions). However, the principles themselves are separate. As the saying goes, 'the two streams of jurisdiction, though they run in the same channel, run side by side and do not mingle their waters'. Where there is a conflict, Equity prevails.