The phrase "already more complicated" is correct and usable in written English.
You can use it when discussing a situation or topic that has become increasingly complex or difficult over time.
Example: "Initially, the project seemed straightforward, but it has already become more complicated due to unforeseen challenges."
Alternatives: "even more complex" or "now more intricate".
There are things I accomplished in my pre-transition life that now I find myself reticent to talk about, afraid to bring more complication into a life grown already more complicated than I ever thought possible.
There is a general consensus that the tax law is already more complicated than we would like it to be.
Of course, that argument is already more complicated than it may seem because the 13-inch MacBook Air and the 15-inch MacBook Pro actually offer the exact same screen resolutions (1440 x 900).
In the solid state, the lattice approximation is often well justified for simple crystalline systems, but the situation already becomes more complicated for molecular crystals which often show some degree of disorder, such as many hydrates and the hydrogen bond network in H2O ices.
Already, things are growing more complicated for the two leaders, and the negotiations will only get harder.
These divergent perceptions, needless to say, make an already convoluted situation even more complicated; Israelis and Palestinians have enough hurdles in the here and now to overcome without worrying about the weight of heavenly rewards.
An already cluttered plot becomes even more complicated when Al and Juliette become involved in a relationship of urgent desperation that becomes sexual/romantic.
It's already known that neuron responses get more complicated as more factors are involved.
In addition to the two already mentioned, there's a third, more complicated, reason; extreme loyalty to a particular habitat.
But May should expect to encounter resistance from business groups wary of sweeping regulations that make life more complicated for those already playing by the rules.
But when his predicament became known by numerous Haqqani and Taliban members contacting the media on July 2, it was too late he was already neck-deep in a much more complicated (and darker) world.
