The phrase "and do cause" is correct and usable in written English.
It can be used in legal or formal contexts to indicate that an action is being taken or has been taken.
Example: "The defendant is found to have acted negligently and do cause significant harm to the plaintiff."
Alternatives: "and thereby cause" or "and result in".
They can flash at any rate, so they can and do cause people to have seizures.
[17] We can and do cause changes in rocks much more quickly than any of the natural forces.
They can and do cause nausea, aphasia, wrenching serotonin crashes, brain fog, holes in one's field of vision.
These factors, along with others such as fire suppression as well as high frequency burning, aquifer degradation, and land tenure decisions, can and do cause desertification, and often act within a complex system of interaction.
This despite the fact that the vast majority of the applicable research finds multiple links between vaccines and autism, and demonstrates the mechanisms by which vaccines and their ingredients can and do cause autism.
But what is perhaps surprising is that Google is not generally perceived to be in the human misery business — yet there's no doubt its algorithms can and do cause collateral damage to private individuals' lives (witness the hundreds of thousands of search de-listing requests it has fielded in Europe over the past few months).
The first is that unsustainable use of natural resources can and does cause poverty.
The second is that poverty can, and does, cause environmental degradation.
A smaller object (around 20m diameter) struck Chelyabinsk Oblast in Russia and did cause over 1000 injuries.
This, in turn, can and does cause fluctuations in numbers as a cohort progresses through an academy".
For instance, Sally Clark, Helen Stacey, Maxine Robinson, and Donna Anthony would not be serving life sentences if jurors realised that mitochondrial or Mendelian mutation can and does cause sudden infant cot deaths.
