Join Integers into Single Integer

Write a Python function `join_integers` that takes a list of integers as input and returns a single integer formed by concatenating the digits of the integers in the list.

#### Requirements:
- The function should handle both positive and negative integers.
- The resulting integer should preserve the order of the input list.

#### Example Usage:
```python [main.nopy]
join_integers([11, 33, 50])  # Output: 113350
join_integers([-1, 2, 3, 4, 5, 6])  # Output: -123456
join_integers([10, 15, 20, 25])  # Output: 10152025
```

def join_integers(numbers):
    """
    Joins a list of integers into a single integer.

    Args:
        numbers (list): A list of integers.

    Returns:
        int: A single integer formed by concatenating the input integers.
    """
    # Placeholder for the solution
    pass

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Intermediate strings lists

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