you dont remove the nitrites during the cycle, they get converted by nitrifying bacteria into nitrates. nitrates will accumulate in the tank and either be eaten by plants, or removed via a water change. the rest, a miniscule fraction, will evaporate into the atmosphere.
your tank gets ammonia, which kicks off the nitrogen cycle. nitrifying bacteria eat the ammonia and create nitrites, more bacteria then converts the nitrites into nitrates. if you starve the bacteria of the nitrites by removing them (essentially you're not feeding the bacteria), the bacteria will die, since there's no food source. this is why water changes during a fishless cycle are counter productive. when your ammonia zero's out, it's natural to see a spike in nitrites. once the nitrites zero out, you'll have between 20-40ppm of nitrates, any more and you do water changes to adjust.
my advice is this, dont do another water change. keep adding ammonia, but not enough for it to be measurable after a few hours (the established bacteria should be converting it to nitrItes). let the nitrites spike, when they even off to zero, and you've got ammonia and nitrites at zero, then add your fish. in the meantime, i'd set up a hospital tank...5g bucket, whatever you have to do, and not put any fish in the cycling tank. you could change the filter and do 70% water changes for the rest of your life, or you could wait for the tank to cycle and not have to do nearly as much maintinence. let the cycle run it's course.
your tank gets ammonia, which kicks off the nitrogen cycle. nitrifying bacteria eat the ammonia and create nitrites, more bacteria then converts the nitrites into nitrates. if you starve the bacteria of the nitrites by removing them (essentially you're not feeding the bacteria), the bacteria will die, since there's no food source. this is why water changes during a fishless cycle are counter productive. when your ammonia zero's out, it's natural to see a spike in nitrites. once the nitrites zero out, you'll have between 20-40ppm of nitrates, any more and you do water changes to adjust.
my advice is this, dont do another water change. keep adding ammonia, but not enough for it to be measurable after a few hours (the established bacteria should be converting it to nitrItes). let the nitrites spike, when they even off to zero, and you've got ammonia and nitrites at zero, then add your fish. in the meantime, i'd set up a hospital tank...5g bucket, whatever you have to do, and not put any fish in the cycling tank. you could change the filter and do 70% water changes for the rest of your life, or you could wait for the tank to cycle and not have to do nearly as much maintinence. let the cycle run it's course.