Yes, as long as the children meet the requirements in the link below, you can claim them. The divorce decree does not preclude you from claiming a qualifying dependent. You can claim a child as a dependent if he or she is your qualifying child. Generally, a child is the qualifying child of the custodial parent and the custodial parent may claim the child as a dependent.
Who can I claim as my dependent?
Also, see the IRS examples in this link. (Expand the 6th scenario, parents separated for 11 months)
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