Which are based on LLMs or other neural network models. It is kind of the thing that language models are actually good at.

See DeepL for example: https://en.wikipedia.org/wiki/DeepL_Translator

The service uses a proprietary algorithm with convolutional neural networks (CNNs)[3] that have been trained with the Linguee database.[4][5]
According to the developers, the service uses a newer improved architecture of neural networks, which results in a more natural sound of translations than by competing services.
The translation is said to be generated using a supercomputer that reaches 5.1 petaflops and is operated in Iceland with hydropower.[6][7]
In general, CNNs are slightly more suitable for long coherent word sequences, but they have so far not been used by the competition because of their weaknesses compared to recurrent neural networks.
The weaknesses of DeepL are compensated for by supplemental techniques, some of which are publicly known.