The phrase "carefully developed" is correct and commonly used in written English.
Example: The new product was carefully developed over the course of two years to ensure its effectiveness and quality.
The first prototype of MORE has been carefully developed using a solid theoretical and conceptual foundation, and iterative development process.
"So the licenses have been very carefully developed".
Here again a carefully developed forecast is essential.
Hybrid pigs raised in Kentucky are carefully developed for the flavor of their meat.
Certainly most of the candidates seem to be working on carefully developed messages.
Pineda was a hard-throwing pitching prospect the Mariners had carefully developed without incident.
Instead, we saw that general managers carefully developed the change process through a sequence of six basic managerial interventions.
As his defenses weakened, long-suppressed instincts broke through to assault the carefully developed skills and judgment of a lifetime.
But carefully developed subsidy programs are worth pursuing even if they do not produce big earnings gains.
Therefore, urban surfaces should be carefully developed and arranged during planning.
We carefully developed algorithms and their corresponding hardware implementations to meet the strict computational demands.
