Translation:A vegetarian does not eat meat and eggs.
The English translation should read "A vegetarian does not eat meat nor eggs." While technically correct, the message is much clearer with "nor" rather than "and."
For example, in this scenario, a vegetarian does not eat meat and eggs. But what about meat and cheese? The condition "and" implies that the vegetarian might eat meat with other products.
The message you wanted to convey was that the vegetarian eats neither meat nor eggs.