In this article, we introduce the notion of $n$-fold commutative BCI-algebra, a generalization of commutative BCI-algebras. Furthermore, we generalize commutative BCI-ideals to $n$-fold commutative BCI-ideals and prove the extension property for $n$-fold commutative ideals. Finally, we use the extension property to obtain a characterization of $n$-fold commutative BCI-algebras in terms of $n$-fold commutative BCI-ideals. This work is the second part of the folding theory of BCI-algebras, the first par wast on positive implicativeness.