The phrase "after they established" is correct and usable in written English.
It can be used to indicate a sequence of events where something was done following the establishment of a particular entity or condition.
Example: "After they established the new policy, the team noticed a significant improvement in productivity."
Alternatives: "following their establishment" or "subsequent to their establishment".
After they established City Ballet in 1948, that repertory became increasingly eclectic.
The debate in the House today was a reminder of just how much bitterness lingers in the relationship between the two nations 25 years after the end of the war and six years after they established formal diplomatic relations.
The psychological violence that results from the constant repression of deviant ideas can lead to the same bellicose intolerance that overtook the Pilgrims and Mormons after they established their religious hegemonies.
Barazan Sheik Othman, the head of the presidential media office, said in a telephone interview that Mr. Talabani left for Germany accompanied by doctors after they established that he was well enough to be transferred.
Tycoons themselves often compare their experience to J. P. Morgan's organization of trusts in early 20th-century America, when financial plotters used aggressive takeover tactics and malleable state legislatures to form giant monopolies like U.S. Steel, and began obeying the rules only after they established control.
Police said they had detained four people in the southern city of Şanlıurfa, near the Syrian border, after they established that the vehicle used in the attack had been bought from a car showroom there, according to the Anadolu news agency.
Not all athletes make that transition, even after they establish themselves as the greatest in their fields.
Depending on the nature of the arriving particle trajectories (diffusive/deterministic), the angle of incidence and the subsequent motion after they establish contact with an already deposited particle, both the deposit anisotropy and final solid fraction can be varied.
"Ultimately, it's all about local control because Sacramento continues to change rules 40 years after they establish the RDA, and today we're paying $2.5 million for that". Councilwoman Wendy Leece called the $2.5 million — which would be taken from the city's general fund — an unanticipated cost.
In addition to the terminally differentiated neurons, postembryonic NBs that continue to produce neuronal precursor cells during larval growth are also removed after they establish lineages of adult-specific neurons (Bello et al., 2003; Tan et al., 2011).
Boers north of the Vaal River were given independence at the Sand River Convention in 1852, after which they established the South African Republic (the Transvaal), and the Orange River Sovereignty became the independent Orange Free State after the Bloemfontein Convention in 1854.
