  In this paper, we study the multiple $L$-values and the multiple zeta values
of level $N$. We set up the algebraic framework for the double shuffle
relations of the multiple zeta values of level $N$. Using the regularized
double shuffle relations of multiple $L$-values, we give a sum formula and a
weighted sum formula of multiple $L$-values. As applications, we give sum
formulas and weighted sum formulas of double zeta values of level $2$ and $3$.
