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.

Example Input: 1, 7, ['2085', '5455', 'l', 't', 'D', 'X', '523']
Example Output: 8063

Example Input: 4, 13, ['5653', '9869', '5325', '7307', '5513', '2167', '2393', 'p', 'F', '2011', '5431', '2695', 'v', 'p', '3743', 'j', 'y', '5903', '5135', '467', '8443', 'C', 'i', 'w', 'y']
Example Output: 27517

Example Input: 1, 8, ['9157', '2421', 'A', '8775', '2221', '5459', 'b', 'p']
Example Output:
28033