  We show that there is an order-preserving embedding of the additive group of
rational numbers $\mathbb{Q}$ into a 2-generator group $G$. The group $G$ can
be chosen to be a solvable group $G$ of length 3, which is a minimal result in
the sense that it cannot be chosen to be neither solvable of length 2, nor a
nilpotent group. For any non-trivial word set $V \subseteq F_\infty$ there is
an order-preserving verbal embedding of $\mathbb{Q}$ into a 2-generator group
$G$. The embeddings constructed are subnormal.
