  It is demonstrated that the magic three-qubit Veldkamp line occurs naturally
within the Veldkamp space of combinatorial Grassmannian of type $G_2(7)$,
$\mathcal{V}(G_2(7))$. The lines of the ambient symplectic polar space are
those lines of $\mathcal{V}(G_2(7))$ whose cores feature an odd number of
points of $G_2(7)$. After introducing basic properties of three different types
of points and six distinct types of lines of $\mathcal{V}(G_2(7))$, we
explicitly show the combinatorial Grassmannian composition of the magic
Veldkamp line; we first give representatives of points and lines of its core
generalized quadrangle GQ$(2,2)$, and then additional points and lines of a
specific elliptic quadric $\mathcal{Q}^{-}$(5,2), a hyperbolic quadric
$\mathcal{Q}^{+}$(5,2) and a quadratic cone $\widehat{\mathcal{Q}}$(4,2) that
are centered on the GQ$(2,2)$. In particular, each point of
$\mathcal{Q}^{+}$(5,2) is represented by a Pasch configuration and its
complementary line, the (Schl\"afli) double-six of points in
$\mathcal{Q}^{-}$(5,2) comprise six Cayley-Salmon configurations and six
Desargues configurations with their complementary points, and the remaining
Cayley-Salmon configuration stands for the vertex of
$\widehat{\mathcal{Q}}$(4,2).
