The phrase "and conceive a plan" is correct and usable in written English.
You can use it when discussing the process of developing or formulating a strategy or idea.
Example: "After analyzing the situation, we need to brainstorm and conceive a plan to address the challenges ahead."
Alternatives: "and devise a strategy" or "and formulate a plan".
To finish the site and conceive a social-media marketing plan, Ms. Weg roped in another friend, Rus Yusupov, 25, the art director for the design team behind the original Web site for Hulu.com.
But there, on Good Friday, emboldened by drink and a feast of roast lamb (the sheep having been stolen from a local farmer), Elizabeth and her friends and neighbours conceived a plan of travelling the 40-odd miles to Lancaster, blowing up the jail, and freeing the Pendle Four.
To gain good terrain for Operation Cobra, Bradley and Collins conceived a plan to push forward to the Saint-Lô Periers Saint-Lô Periersh VII and VIII Coroadwere securing jumping-off positions.
When he met her she was a dancer in a club in Teguc [Tegucigalpa, the great, dangerous, furious capital city of Honduras], and she conceived a plan for me to marry one of his daughters.
A scheming Wagnerian soprano has become their father's mistress, and conceives a plan to destroy the children, who stand in her way.
Sabeti and her team conceived a plan to obtain samples of blood from people infected with Ebola.
It did not just buy in millions of mosquito nets and drugs; it conceived a plan to solve its own particular problem.
Instead of offering troops to support American soldiers fighting in Afghanistan, as other countries in the region had done, senior officials and police commanders conceived a plan to "expose" a terrorist plot against Western interests in Skopje, police investigators here say.
Hoping to ensure Miranda's future and end his exile, Prospero conceives a plan to have Ariel create a storm that will wash ashore a passing ship bearing Prince Ferdinand, whom Prospero hopes to match with Miranda.
Mr. Cady made no little plans and conceived a massive complex similar to the first part, but in movie-style Romanesque, with great sweeps of pink granite dotted with turrets, tourelles and other castlelike features.
