Will2020 Others have covered this fairly well, so if there's something about A or B that's still bugging you, please let me know. However, here's how I'd explain those two:
First, we have to keep in mind what the conclusion of the argument is. The researchers have concluded that the drugs don't pose a significant public health hazard. Now let's look at how A and B relate to that claim:
A) "If a drug found in drinking water is not a significant public health hazard, then its presence in the water will not have any discernible health effects."
This actually
builds on the claim that's already been made, so we can cut it immediately. In general, if a Strengthen choice starts with "If [Conclusion]," it's wrong. We're trying to get to the conclusion, so we can't begin by accepting it as the basis for some other idea. If anything, we'd like to see the reverse--"If no health effects, then not a significant public health hazard." Then, as long as it turns out to be true that these drugs really have been present for years with no ill effects, then the argument starts to look good.
Short takeaway: Don't just look for answers that mention a premise and conclusion. We need something that leads us FROM the premise TO the conclusion. "If [premise], then [Conclusion]" is the ultimate strengthen. "If [Conclusion], then . . . " is an immediate out.
B) "There is no need to remove low levels of pharmaceutical drugs from public drinking water unless they present a significant public health hazard."
This is also trying to build on the conclusion. The question at hand isn't "If these drugs aren't a hazard, what should we do?" It's "Are they a hazard?" We want something that indicates that they are. Discussing follow-up action is not our job.
Short takeaway: Stick to the precise scope of the argument. Don't confuse an argument about what IS TRUE for one about what SHOULD BE DONE.
As a parallel case, imagine that the author is arguing that the defendant in a criminal trial is guilty, and we want to help support that. We would want an answer that helps point from the evidence presented to the conclusion of guilt. For instance, if the premise is "They had a strong motive," then a strengthen might be "A person who has a strong motive to commit a crime almost always does commit the crime." If the premise is "They were identified as the culprit by a witness," a strengthen might be "The witness is reliable" or "There aren't other potential suspects who look very similar to the defendant."
The equivalent of answer choice A above would be to say "If the defendant is guilty, they will have had a motive." That may be true, but it doesn't tell us whether the defendant actually
is guilty. Taken to extremes, we could have this: "The defendant has two eyes. So the defendant is guilty." Would it really strengthen the argument to say "If the defendant is guilty, they have two eyes"?
The equivalent of B above would be to say "We shouldn't jail the defendant unless they are guilty." Surely that's good advice, but it tells us zero about whether they actually ARE guilty.
Hope this helps. Feel free to follow up if I can clarify.