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From marron's earlier post:

If a miracle happens over a period of minutes, or months, or lifetimes, it is still a miracle. Some miracles we are privileged to witness. Some unfold over time and we may not live to see the end of it.

As for randomness, if the randomness is obedient to the laws of physics, it isn't that random. And if at the end of it it takes an intelligible form, then the principles governing it were themselves intelligent.

Brilliant, dear marron! Thank you!

And thank you both for your encouragements to betty boop and to me!

One other observation about randomness: the term "random" originates in mathematics and is often misapplied in other disciplines.

The result of a throw of dice would be random. Complete entropy would be entirely non-random (everything is the same, every where.)

Randomness is tied to complexity. If a series of numbers can be produced by an equation it is not random. The smaller the equation needed to produce the sequence (the Kolomogorov complexity) the less random the series.

And it can be very deceiving to the observer. For instance, a series of numbers extracted from the extension of the pi (circumference divided by diameter) may appear random but in fact is highly determined by the calculation, e.g. not random.

The "moral of the story" applied to natural science is that something may appear to be random (as you say over long periods of time) when in fact they are highly determined. But since one cannot step outside of Creation (see things from God's point of view) one can only know by trusting God's words on the matter.