Ah, AquaticLife. That may be your issue. I might be wrong (I am no chemist) but I believe ICP tests can show Chloramine as Chlorine.
That was the reason for my question about Chloramines, as not all carbon blocks are created equal. I had a RO Buddie (also by AquaticLife, but smaller) and after about 6 weeks of creating RODI water I tested the chlorine and it showed positive. I was surprised at how quickly the carbon had depleted but bought a new AquaticLife carbon filter, ran it for 30 mins and tested again and it immediately showed chlorine.
I contacted AquaticLife and they told me that the RO Buddie carbon does not filter out Chloramine. I checked my local water test (available online) and, sure enough, they use Chloramine. This may not be the same as their bigger filters but it does seem a bit of a coincidence.
I added another canister with a better carbon block and the problem went away. If this is your issue then it might be a simple case of switching out the carbon block for a different one. I used the one from BRS, which is only $17 so not a huge expense.
The first step to all of this is to find out whether your tap water has chloramine. You might be able to find the local water quality report online.