Is it true that nerve cells do not regenerate?

Is it true that nerve cells do not regenerate?

Artificial attempts to force them to divide led to the fact that the neurons died. Apparently, the division process itself is forbidden for them, because otherwise the nerve cell will not be able to perform its functions, because it will first need to lose all contacts, and then restore them. Therefore, it is customary to say that nerve cells are not restored.

Nevertheless, in our brain there is a process of formation of new nerve cells from precursor cells - the so-called neurogenesis. The two most well-characterized regions of neurogenesis are the hippocampal dentate gyrus and the subventricular region. In these areas, new nerve cells are formed every day, which then migrate to those parts of the brain where they are destined to perform their function.

However, it is still not known exactly why neurogenesis is needed and what is the function of newly formed nerve cells.