Q: Is the phrase "are currently working as well" wrong or does it just sound unnatural?
Two things. One, I'd like to see the rest of the sentence before responding to that. Two, you need to work on the way you form sentences.
There is no particular source from where I've taken the sentence. It's just some context I've made up. OK, I will post some similar context below:
"I've borrowed the phrase from one of the books on Technical English published in Moscow (Russian Federation) by one of its publishing houses. That publishing house has been editing and publishing books for a long time since the end of the 1990s. The book on Technical English mentioned above came out in 2009. There are many publishing houses in Moscow that deal with technical literature and are operating at present. The publishing house called "Flinta" is
currently working as well /
still in business".
P.S.
I am permanently improving my skills and knowledge of English. I worked successfully as a tour guide with foreign tourists for about 10 years from 2010 till 2020 (among them were Americans, British people, Canadians, etc.). Also, I am currently teaching spoken English and Technical English. I've provided some info about myself just to introduce myself a little

I cordially appreciate your help with corrections.