"can do further" is correct and usable in written English.
You can use it when you want to suggest that there is more that could be done in a certain situation. For example, "We have made good progress, but I think we can do further if we put more focus on improving our customer service."
*Occasional misuse of ipecac after ingesting a caustic substance that can do further damage when it is regurgitated.
If students are interested, they can do further research on any issue, like gun violence or relations with China.
After a few botched charges, Smith tackles his opponent, and when he establishes a full mount, his opponent's father quickly intervenes and stops the fight before Smith's punches can do further damage.
However, it was only revealed recently that the NSA then dumps all of those numbers and connections – even those three hops away – into another database called "the corporate store", where the NSA can do further analysis of your information and doesn't need "reasonable articulable suspicion" for anything.
Based on this paper, one can consider boundary value problems of fractional differential equations with parameters, and also one can do further research on eigenvalue problems of fractional differential equations with p-Laplacian.
The most compelling defense of the use of properties in the philosophy of mathematics urges that, when we step back and consider the big picture, we see that a rich-enough stock of properties can do all the work of sets and numbers (or that we can use them to define sets and numbers) and that properties can do further things that sets simply cannot.
"And we provide the data so others who have methods for manipulating geodata can actually do further things with the data than we've done".
By the way, one can also do further algebraic works on this new product.
We need to ask ourselves, "What can we do further to bridge the gap between communities and eradicate doubt, prejudice and misunderstanding -- personally, socially and intellectually?" We should all be proactive in dialogue, and this is not too good to be true!
With their various honors, including the Bronze Star, deployment in Afghanistan and numerous promotions, these Army men have proved that soldiers who wear visible religious articles of faith (turbans, uncut hair and beards) can and do further our military's goals of mission accomplishment.
"As with prose poetry, the lyric essay expands our awareness of what poetry can be and do, further nuancing our capacities for expression and understanding," she said.
