He wrote 5 novels, and she wrote 4 songs. I think you can say:
a. He wrote more novels than she wrote songs.
b. He wrote more novels than she did songs.
Since the verb is repeated, can you omit it?
c. He wrote more novels than she songs.
Is c. grammatical even if it's not as natural? Or is it ungrammatical? If it's ungrammatical, why?