  A group $G$ possesses the Magnus property if for every two elements $u,v \in
G$ with the same normal closure, $u$ is conjugate in $G$ to $v$ or $v^{-1}$. We
prove the Magnus property for some amalgamated products including the
fundamental group of a closed non-orientable surface of genus 3. This answers a
question of O. Bogopolski and K. Sviridov, who obtained the analogous result
for genus $g > 3$.
