Given the task definition and input, reply with output. In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

5, 13, ['8371', '8379', 'o', 'Q', 'j', 'l', '8479', '5347', '2975', 'u', '4997', 'W', 'l', '5359', '4353', 't', '6981', 'q', 'l']

21798