The function processes the input as follows:
- If the input has 10 digits and does not start with `0`,
it is assumed to be a ID with a check digit.
- If the input has 10 digits and starts with `0`, it is considered an old
ID without a check digit, and validation cannot be performed.
- If the input has 9 digits, it lacks a check digit, so validation is not possible.
- If the input format is invalid, an error message is generated.
The function extracts the main ID (without the check digit), computes the
expected check digit using `calculate_check_digit()`, and compares it with
the provided check digit.