Is it true that Ibn Abbas (may Allah be pleased with him) permitted masturbation, what is meant by the hadith, and how do we differentiate between an authentic and a weak hadith?

Abd al-Razzaq narrated from Ibn Abbas what implies the permissibility of masturbation. However, it was also narrated from him, in opposition to that, that marrying a slave woman is better than this (masturbation), and this (masturbation) is better than fornication. Ibn Hazm, in Al-Muhalla, clarified that these two narrations (athar) are flawed. The saying of a Companion is called an athar, not a hadith. The legal texts have indicated the prohibition of masturbation, and specialists have testified to the harm of this habit.