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def find_common_elements(v1, v2):
    # Convert lists to sets to find common elements efficiently
    set1 = set(v1)
    set2 = set(v2)
    
    # Find intersection of two sets
    common_elements = set1.intersection(set2)
    
    # Sort the common elements
    sorted_common_elements = sorted(common_elements)
    
    # Return the sorted list
    return sorted_common_elements

# Example usage:
v1 = [1, 2, 3, 4, 5]
v2 = [3, 4, 5, 6, 7]
result = find_common_elements(v1, v2)
print("Common elements:", result)