So far, so good.
"Fertilized egg + uterus implantation = conception of human life"
No...... Fertilization and conception are the same thing.
"Fertilized egg + menstruation = try again next month."
There is no such thing as a "fertilized egg." And this is a spontaneous miscarriage.
"A fertilized egg cannot become human unless it is implanted in the womb, period. Active women, even in marriages, probably expel dozens of fertilized eggs throughout their lives as part of the natural processes of their bodies."
There is no such thing as a "fertilized egg." Human beings begin at conception, and are as genetically complete as they'll ever be. Your humanity is established whether you get your nourishment from your mother's uterine wall, or from a #4 at McDonald's.
I'm not sure if you're just arguing semantics here, or if you really believe that an egg doesn't become fertilized. If an egg combines with a sperm, this is called fertilization. When this happens, it is a "fertilized egg".