How does a diverging lens can form a real image of a real object?

A diverging lens, typically a concave lens, primarily forms virtual images of real objects by spreading light rays apart. However, it can create a real image under specific conditions, such as when the object is placed in front of the lens at a distance less than its focal length. In this case, the light rays diverge and appear to originate from a point behind the lens, leading to a virtual image that cannot be projected on a screen. Thus, while diverging lenses predominantly produce virtual images, they do not form real images in the conventional sense.