Sound and image manipulation necessarily creates artifacts. Around the edges of superimposition in layers there are such. Face replacement and other more surface or object centered operations create a different class of artifacts. A sufficiently well constructed LSTM or GRU network and data set of manipulated frame sequences and the user (mouse and keyboard) events that manipulated them can be used to produce good guesses of the event set from new images. Adding unmanipulated images to the data set can allow for the no-event case. That would be the supervised way to do it. There are unsupervised approaches that would require considerably less training resources, which is likely the case with this San Francisco solutions provider.
In either case, the question of escalation is a good one. One can also create a device, building from the current state of machine learning, that hides manipulations from existing detection software. If they are forward thinking, the same provider may have already developed it.
Can we combat against deepfakes? ...
I am wondering that the people who are creating deepfakes can as well their AI's to remove these imperfections ...
Yes and yes. In war, the combatants learn the methods of the opposing combatants and adapt. A detection mechanism for opposing strategy changes is also theoretically possible, which is one of the reasons that military research facilities spend so much on higher forms of AI.
The edit to the question is not entirely tangential either.
If we propose, which some people have, that a virtual reality may damage human culture or individual psyches, the average citizen is likely to be considered collateral damage on the field of combat by companies seeking a good financial return from their AI development. Of course, we could say the same thing about the use of diminished fifths in music. Two notes that are six half steps apart produce a dissonant frequency ratio of $1:\sqrt{2}$. The diminished fifth was considered subliminally satanic in Europe centuries ago and prohibited in music compositions by law. The glass harmonica was alleged to have driven listeners insane.
Anthropologically, it is possible that a mark of our species is to manipulate appearance. To hunt fakes in frames and audio is likely a fruitless hunting ground, with our without the escalation. The current hunting ground of import is the research into what genetic elements led to human abilities to imagine, design, and fabricate. After that is known, we may have a better window into whether the cat-and-mouse games we play have any sustainable value for our species going forward. Those who love competition believe that it strengthens, which is possible. It is also possible that the games are solely an artifact of a painful path to our emergence as the dominant mammalian species and no longer of any particular use. "Do to others as you would want them to do to you," has the ring of truth we can't ignore either.
If we look through this wider lens, we can see that our entertainment choices tend toward what could (in the absence of bias) qualify as deepfakes. There are entire cities fueled by the money made by the entertainment industry producing excellence in sound and image capture, synthesis, and manipulation. The story lines are not necessarily representing deep truths. This is more overt.
On the more covert side, some pass fakes off as reality as a move in their own game to achieve some objective, but this is not the exception in our culture. The fields of public relations and marketing are based on the creation and preservation of business value. Some elements of government, education, and community are based on the creation of economy-preserving beliefs. The intention may be to benefit others or beat them and gain personal wealth.
Some of us seek authenticity and would like the fake-finders to win the combat, but it appears they may be on the losing side.
Does this question and this answer pertain to this Stack Exchange community? Absolutely. This community's description in the drop down of SE communities reads, "For people interested in conceptual questions about life and challenges in a world where 'cognitive' functions can be mimicked in purely digital environment." Whether AI ultimately weighs in on the side of playing people or informing them certainly pertains to this published view of this community's purpose.
