Estimates of lynx in the Romanian Carpathians seems to be also around 1500-2000. Seems there are probably around 7,000+ in Europe altogether. As far as I can gather they don't seem to be threatened in this particular location. If you ever see one, count it your lucky day! Bears yes but lynx, highly unlikely.
'Eurasian lynx density and habitat use in one of Europe’s strongholds, the Romanian Carpathians'