Healing nonlethal damage suffered from Cold and Exposure

[Maveten]

CRB wrote:

Healing Nonlethal Damage: You heal nonlethal damage

at the rate of 1 hit point per hour per character level. When
a spell or ability cures hit point damage, it also removes an
equal amount of nonlethal damage.

CRB wrote:

Cold and exposure deal nonlethal damage to the victim. A

character cannot recover from the damage dealt by a cold
environment until she gets out of the cold and warms up
again. Once a character has taken an amount of nonlethal
damage equal to her total hit points, any further damage
from a cold environment is lethal damage.

Question is, a character cannot recover from the damage dealt by a cold enviroment until she gets out of the cold and warms up again naturaly, meaning he cant heal nonlethal damage at the rate of 1 hit point per hour per character level, or does this restriction applies at the magical healing aswell? In the cold and dangers section of crb it doesnt mention anything for magical healing, but in the Starvation and Thirst section it specifically states that:

CRB wrote:

Nonlethal damage from thirst or starvation cannot be recovered until the character gets food or water, as needed—not even magic that restores hit points heals this damage.

So what is the case for recovering nonlethal damage from a cold enviroment in order to benefit from magical healing? Does the character benefits normally towards healing nonlethal damage while still in a cold enviroment, or she has to get out from the cold and warms up and then get magical healing?

[blackbloodtroll]

Magical healing does the trick. Frostbite or fleshwound, magic heals fine, but an empty stomach it cannot fill.

[Zarius]

I know, old thread, but relevant question:
Does this mean that a sufficiently high level character is immune to a certain amount of cold, inherently? Example:

Thok is level 15 and, thus, can heal 15 hp of non-lethal damage per hour.
The environment he is in, while cold, only causes 14 hp of non-lethal points of damage per hour. Aside from the inherent 14 points of damage that Thok is dealt right after healing 15, is Thok thus effectively immune to further damage from cold environs? Or does Thok have to get into a shelter to warm back up before his natural healing abilities override it?

[GinoA]

No. As the first post says, that 15/hour healing doesn't happen until Thok gets warmed up.

[Zarius]

Ah. I missed that part. Thank you for the timely response, GinoA.