But it doesn't say anything about how to determine whether something is a logical truth or not... how are you ever going to know that your logical truth is actually a logical truth? You simply cannot test it in ''all situations''
You are correct that it is very difficult to think of universally accepted ideas about what the generic properties of logical truths are or should be.
If you want to understand how it can potentially be done you have to dive into the topic at a far deeper level then the simplified summary I linked above.
This would probably be a good place to start if you have an interest but fair warning it is challenging and dry reading.
https://plato.stanford.edu/entries/logical-truth/