as others have said, the browns are not lds so their practices are different but my understanding is that the core beliefs in the afterlife and how the decisions one makes in marriage (staying married vs. 'divorcing') are very similar. below is an explanation from the lds website on the issue (NOTE-i've known traditional lds women and for them the decision they make on this issue is primarily impacted by what will happen to their children-not themselves because they know that it is almost impossible to get a cancellation of sealing for a woman-and while men can go on and be subsequently sealed to any number of women through remarriage-women absent cancellation are 'eternally bound' to that first husband and no other):
...““What happens to the children in the next life when there has been a cancellation of sealing of the parents?” it is understood that in the case of a cancellation of the sealing of the woman to the man, this does not cancel the sealing of the children to the parents, since they were born in the covenant, which is a birthright blessing. They remain in the status of the sealing to their parents and can never be sealed to anyone else. The decision as to with whom they will go will be determined by the Lord in the hereafter.
Regarding being born in the covenant the General Handbook of Instructions states, “Children born in the covenant cannot be sealed to anyone, but belong to their natural parents. This rule is not altered by adoption, consent of the natural parents, request of the child after becoming of age or death of the natural parents.” (P. 101.)
It should be kept in mind that to be born in the covenant is a birthright blessing, and that if a child remains worthy in this life of celestial blessings, regardless of the actions of his parents, he is assured of that birthright and is guaranteed eternal parentage. One’s worthiness in this life through living the gospel and keeping the commandments, in this as in all things, is the key to eternal life.