(a) When the sale has been made and its terms complied with, the officer shall execute and deliver to the purchaser a conveyance of all the right, title, interest, and claim that the defendant in execution had in the property sold.
(b) If the purchaser complies with the terms of the sale but dies before the conveyance is executed, the officer shall execute the conveyance to the purchaser, and the conveyance has the same effect as if it had been executed in the purchaser's lifetime.