The phrase "and discourage that" is correct and usable in written English.
It can be used when you want to express the idea of preventing or dissuading someone from a particular action or behavior.
Example: "We should promote healthy habits and discourage that kind of reckless behavior."
Alternatives: "and deter that" or "and prevent that".
He said Rap Genius and its community discourage that behavior.
Fisher said that he believed the resulting legal liability would discourage that, and that most organizations would buy new helmets.
In particular, I was disappointed and discouraged that Ms. Chapman characterized More Fire! Productions as "her" (Schulman's) theater company.
The news that our troops are underresourced and discouraged, that intelligence is garbled and fighting chaotic, that the insurgency is growing, that the drones are often unreliable and that the Pakistanis are treacherous allies will come as no surprise to anyone who has even casually followed the unfolding of this catastrophic war over the last 10 years.
In this 30th anniversary of Congressional passage of Title IX, the civil rights law that prohibits sex discrimination in education, it is ironic and discouraging that the Bush administration has chosen to use its regulatory power to encourage sex discrimination by promoting single-sex education (news article, May 9).
The moose lodge is opening up the east side for trucks and trailers and... Others were panicked and discouraged that animals had been left behind.
"Kids used to think the house was haunted, and I never discouraged that".
Diabetes education can provide patients with options that reduce fear and discourage choices that provide a rationale for poor glycemic control.
And even today, if you take a broader measure of an unemployment rate that includes those who are partially employed and those who are discouraged, that have left the labor force, the number is already 15%.
