Otherwise the Co2 will be returned to the atmosphere once the tree rots or is burned for fuel.
Individual trees die and decay, but their place is taken by their offspring and the total biomass of the forest does not decrease over time.
The amount of carbon stored in the forest is approximately proportional to that mass.
Forests that we don't cut down is called reservations.
In Sweden there is a law that states that any forest cut down must be replanted unless used for farming or new buildings. I also recall Norawy having the similar law. If we counted that as carbon removal, we would have a massive carbon net negative from this pretty old law.
The law is not a carbon removal strategy. It simply maintain current biomass over time.
You need space, you need to plant/nurture them, and assure they survive long enough/remain healthy.
The total area of forest land in US is 501 million acres, with 2.5 trillion trees of all types.
So you'd need to just find 207 million acres of viable land, 1 trillion saplings and enough people to plant them.
In my point of view, that's a bit challenging - but I'm no expert in such matters.