The points $$(p + 1, 1), (2p + 1, 3)$$ and $$(2p + 2, 2p)$$ lie on the same straight line only if $$p =$$

A

-1 or 2

B

2 or 1

C

2 or $$\frac{-1}{2}$$

D

$$\frac{1}{2}$$ or 2