"effectively and accurately" is correct and usable in written English.
For example, you could write "I perform my duties effectively and accurately." You can use this phrase whenever you want to emphasize that something is being done with efficiency and precision.
The paper demonstrates that these models capture effectively and accurately the effects of market and leasing conditions on the techno-economic performance of complex CCS value chains.
Location, quantities, and security should be maintained effectively and accurately.
The experimental results show that our approach performs more effectively and accurately.
A general treatment was applied to conduct three types of concentration boundary conditions effectively and accurately.
The results demonstrate that the proposed method can identify fault information effectively and accurately.
Rather than (or in addition to) using the technical term "low food security," the Agriculture Department might more effectively, and accurately, describe this situation as "acute hunger".
The theoretical and experimental results show that the proposed method can compensate for the spindle inclination error effectively and accurately.
Experiments on a specimen demonstrated that the proposed technique can estimate the dimensions of elements effectively and accurately.
The system provides increased safety for park goers, disseminates information more effectively and accurately, and improves feedback.
Based on GH-tree, the MC calculation models and CAD models can be generated effectively and accurately.
We have attempted to transform insights gained from the scientific study of music, learning, and medicine into real-life applications that can be delivered widely, effectively, and accurately.
