  In this paper we consider the Einstein-Maxwell theory and define a combined
transformation composed of diffeomorphism and $U(1)$ gauge transformation. For
generality, we assume that the generator $\chi$ of such transformation is
field-dependent. We define the extended off-shell ADT current and then
off-shell ADT charge such that they are conserved off-shell for the
asymptotically field-dependent symmetry generator $\chi$. Then, we define the
conserved charge corresponding to the asymptotically field-dependent symmetry
generator $\chi$. We apply the presented method to find the conserved charges
of the asymptotically AdS$_{3}$ spacetimes in the context of the
Einstein-Maxwell theory in three dimensions. Although the usual proposal for
the quasi local charges provides divergent global charges for the
Einstein-Maxwell theory with negative cosmological constant in three
dimensions, here we avoid this problem by introducing proposed combined
transformation $\chi$.
