According to CNN Political Ticker, (scroll down about 4 items on CNN’s August 8 page) on August 9, the South Carolina Republican Party will announce that it is moving its presidential primary from February 2 to January 19. That would move the South Carolina Republican primary ahead of the South Carolina Democratic primary (which is set for January 29).
It would also move the South Carolina Republican primary ahead of Florida (now set for January 29) and ahead of New Hampshire (now set for January 22).
South Carolina major parties administer their own presidential primaries, although the state reimburses them for the cost. That is why South Carolina presidential primaries for one party are not necessarily on the same day as the other major party’s primary. That is also why the primary dates can be moved around, even when the state legislature is not in session.