Does "Save" method belong to the Business Domain Entity?

I am not using any ORM. So I am having a debate whether "Save" method actually belongs to a Business Domain entity or should be abstracted in some service that will be handed over the Business Domain Entity for saving ?

e.g.

class Employee
{
    string Name;
    DateTime Birth;

    GetAge()
    {

    }

    Save()
    {
    }           

}

OR

class Employee
{   
    string Name;
    DateTime Birth;

    GetAge()
    {

    }


}

SomePersistenceService
{
    Save(Employee emp)
        {
        }
}