You can have 0 nitrate in a cycled tank.Your Nitrate should not be 0ppm. It should be over 6ppm and under 20 ppm at all times. When was the last time you tested for Nitrate?
You want the nitrate as low as possible and kept under 20ppm at all times. If it sits on 0ppm, that is great.
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GH is 70 ppm or 70 dGH?Checked nitrate tonight I have had tank running for several years. Gh is high about 70
For the OP, can we get some pictures of the sick fish?
What sort of filter do you have and what filter materials/ media do you have in it?
How often do you clean the filter and how do you clean it?
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Wipe the inside of the tank with a clean fish sponge.What sort of filter do you have and what filter materials/ media do you have in it?
How often do you clean the filter and how do you clean it?
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Do a 75% water change and gravel clean the substrate every day for a week or until we identify the problem. This will dilute any disease organsims that might be in the tank.
Make sure any new water is free of chlorine/ chloramine before it's added to the tank.
Clean the filter if it hasn't been done in the last 2 weeks.
Then post pics of the fish.