This might be an issue with opensearch.xml, which is a standard for how browsers recognise search engines.
See here:
https://github.com/hnhx/librex/blob/main/opensearch.xml.example
I don't know how you're hosting it, but when I was hosting LibreX, I had to make an opensearch.xml with the correct domain and bind mount it to the correct location. I don't exactly remember the details since I moved to Searxng.
Also, if you're not aware, LibreX was forked to LibreY, which is the updated repo.
That's a common convention in academic papers to demonstrate pairs of correlations, it's the same as writing
"We also find a positive correlation between cognitive ability and realistic beliefs AND a negative correlation between cognitive ability and pessimistic beliefs."