Intersection of finitely many verbal subgroups

Definition
Suppose $$G$$ is a group and $$H$$ is a subgroup of $$G$$. We say that $$H$$ is an intersection of finitely many verbal subgroups in $$G$$ if there exists a positive integer $$n$$ and verbal subgroups $$H_1,H_2,\dots,H_n$$ of $$G$$ such that $$H$$ equals the intersection of subgroups $$\bigcap_{i=1}^n H_i$$.