  The cancellations of poles of degenerate Eisenstein series were studied by
Hanzer and Mui\'{c}. This paper generalizes the method and the result to
Eisenstein series constructed from inducing two Speh representations
$\Delta(\tau,m)|\cdot|^{s_1}\otimes\Delta(\tau,n)|\cdot|^{s_2}$ for the group
$GL(m+n,\mathbb{A}_\mathbb{Q})$ for self-dual cuspidal automorphic
representation $\tau$ by describing the combinatorics of the relevant Weyl
group coset.
