The optical system consists of a collecting lens and a small concave mirror located at a distance l = 75 cm from it; their main axes coincide. The focal length of the lens is F1 = 20 cm, the radius of curvature of the mirror is R2 = 50 cm. There is a luminous object in front of the lens at a distance d1 = 30 cm from it. Find the number of images, their position and nature. Check the solution by construction.

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