The SLAM will kill the algae. All of the algae. There are 3 criteria defined in the process to know when all the algae has been killed and the SLAM is complete. More here, Pool School - SLAM - Shock Level And Maintain
Getting clearer is great! But yes, try to stay patient (it's the hardest part) and simply keep the FC right at 31. You will do that until you pass the 3 SLAM criteria of:
1. Water is clear
2. You do not lose any more than 1ppm of FC overnight (that's the OCLT)
3. CC (Combined Chlorine) is <.5
Don't let the clearer water fool you. You must pass those three items or algae can easily be hiding or have simply changed color and is in transition. If you have any questions about the 3 criteria required to pass the SLAM, please let us know. Here's the page on the OLCT: Pool School - Perform the Overnight FC Loss Test (OCLT). Have a great day.
As for the wet ground, that can be alarming. Whenever you see soggy ground, you have to first look at the equipment and plumbing closely. Do you see an external leak? If so, let us know or take a pic and post it. If it's merely the ground soggy, you need to look to see if there was any water run-off from another location. We hope to rule-out any underground plumbing. Later we can give you more tips and tricks for detecting a leak if you suspect there is one.
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I went to your 1st post. I see the "cleaner" and "Fall" pumps. What's that smaller item in the middle? I can't quite make it out.
For example, looking at that pic, does the yard slope left to right or right to left?
If after a while you see no change in the ground drying-out, you may have to have someone dig a bit and poke around to see if they can find the culprit. But don't panic yet. Do the pool leak detection. If you're not losing any significant water, you can address that after the SLAM.