"even with the presence of" is correct and usable in written English.
It can be used to indicate that something occurs or is true despite the presence of something else. For example: "Even with the presence of a few clouds, the sky was a brilliant blue."
Moreover, even with the presence of more troops, Afghan and American, nothing has managed to stop the flow.
It was the Age of Reason's Woodstock — even with the presence of the National Guard, the citizen militia born in the creative chaos of 1789.
Even with the presence of more foreign reporters, video posted online by supporters and opponents of the Assad government remains an important source of information.
"The contracts were awarded to Unaoil as it had people on the ground who could operate in this difficult and challenging environment (even with the presence of Isis) and undertake survey work to support the project and add value to BP by increasing significantly the speed at which activities were completed".
It is noteworthy that, even with the presence of poorly designed nuclear power plants in the past, and in some cases demonstrably sloppy operations, the waste from coal-fired power plants has done far more damage, and even spread more radioactive material around the world than all nuclear power plants combined, including Chernobyl.
And in a way, it looked like just another day in Madison, a place already so polarized that even with the presence of Ms. Palin, a figure beloved and detested, people here seemed to go right on with the debate they had been having for months.
With even the presence of electricity a hit-or-miss proposition, not to mention the lack of Internet and cellphone service, Semuc Champey promised that isolation.
The efficiency becomes even more critical with the presence of wireless links, as is the case with mobile networks and an ITS scenario, because in wireless links both the bandwidth and communication resources are generally limited.
The clinical management of Parkinson's and Alzheimer's patients gets even more complicated with the presence of other chronic diseases common with aging.
7 Older people are also at increased risk of undernutrition and skeletal muscle loss, which is generally even more evident with the presence of diabetes.
Nevertheless, the final multivariate analysis revealed that patients with a HIC, or even more likely with the presence of MVO, demonstrated a high OR for the occurrence of IMH (Table 4).
