Lo neutro rule...
I need some examples about this rule
**lo de + infinitivo ** significa *el hecho de *
I really don't understand what "lo de" means in english too
2 Answers
It's just that the pronoun "lo" takes the place of "el hecho" or is referring to it, as you prefer but it doesn't mean that there exists a rule.
Here you have any examples:
Lo + infinitive.
Lo de/ el hecho de comprar por comprar me parece absurdo.
Lo de / el hecho de vivir cerca de la playa es cuestión de dinero.
Lo de + sudjuntivo.
Lo de que veas la tele hasta tan tarde lo discutiremos mañana.
El hecho de que veas la tele hasta tan............
El hecho de que suspendas todas las asignaturas se debe a tu falta de estudio.
Lo de que suspendas........
I usually translate "lo de" as "that of"
lo de hacer algo- That of doing something. The act of doing something. The fact of doing something. Will depend somewhat on context.
Here are a couple of not exactly nice memes showing usage:

(That of saying/the act of saying/that you say) senseless things is in order to demonstrate your delay (that you are mentally delayed)?

I don't deny it, (the act of) lying (leaves from you well/ is easy for you)
(Making like/pretending that) I believe you exits me better (is even easier for me)