"""Create error_monitor
Generated by Phi-Octopus Eden
2025-11-07 20:22:21.235959
"""

```python
from typing import Any, Dict


class ErrorMonitor:
    """
    A class for monitoring errors and performing limited recovery actions.
    
    Attributes:
        _errors: A dictionary to store error messages and their counts.
        
    Methods:
        log_error: Logs an error message with a count increment.
        recover_limit: Attempts recovery if the error count exceeds a threshold.
    """

    def __init__(self):
        self._errors = {}

    def log_error(self, error_message: str) -> None:
        """
        Log an error and increment its count.

        Args:
            error_message (str): The error message to log.
        """
        if error_message in self._errors:
            self._errors[error_message] += 1
        else:
            self._errors[error_message] = 1

    def recover_limit(self, max_recoveries: int) -> None:
        """
        Attempt recovery for errors that exceed the maximum allowed recoveries.

        Args:
            max_recoveries (int): The threshold above which an attempt to recover is made.
        """
        for error, count in self._errors.items():
            if count > max_recoveries:
                print(f"Recovering from {error} with count: {count}")
                # Implement your recovery logic here
                # Example: send an alert or restart a service


# Example usage
if __name__ == "__main__":
    monitor = ErrorMonitor()
    
    try:
        1 / 0  # Simulate an error
    except ZeroDivisionError as e:
        monitor.log_error(str(e))
        
    try:
        import some_nonexistent_module  # This will raise an ImportError
    except ImportError as e:
        monitor.log_error(str(e))
        
    monitor.recover_limit(2)
```

This code defines a `ErrorMonitor` class that logs error messages and attempts recovery when the number of occurrences exceeds a specified limit. The example usage demonstrates logging errors and performing recoveries based on those logs.