Question: If God is responsible for every soul that is born…is God responsible for every soul that dies, too?
Does He decide about both bringing us onto this earth and then taking us away when He decides it’s time?
He decides to create us, that is a postive act of the Will, meaning that God has to be an active participant.
God can only do good, therefore, anything that God actively participates in is a good act.
That is distingusihed from God allowing something to happen. There is no positive act of creation, for example, in a murder.
Thus murder, in fact all sin, are really the deprivation of God being a part of the act. In much the same way that darkness is really the absence of light, not an entity of itself.
A human being, which is a union of body and soul, must be created, God must be an active participant.
But God cannot ever be an active participant in anything that is sinful. Humans, using free will, can cause destruction that God does not desire, but cannot create an immortal soul using our own power.
One thing to keep in mind, however, is that natural death is not an evil act of itself. The purpose for which we are created is not for temporal life, but for eternal life.
So there are certainly occasions where natural death is done with God as an active participant. The Flood, Sodom and Gemorrah, and yes even the Cruxifiction itself are all good examples.