Ian Hacking argues that when something is said to be "socially constructed", this is shorthand for at least the following two claims:
(0) In the present state of affairs, X is taken for granted; X appears to be inevitable.
(1) X need not have existed, or need not be at all as it is. X, or X as it is at present, is not determined by the nature of things; it is not inevitable.
Hacking adds that the following claims are also often, though not always, implied by the use of the phrase "social construction":
(2) X is quite bad as it is.
(3) We would be much better off if X were done away with, or at least radically transformed.