You should look into Writing across the curriculum. Even if you get no support from your school, there are things you can do as an individual instructor.

You should discuss your writing remediation plans with your "management" (assiatant chair or someone "in charge" of your course) in advance, so they would not be surprised. You should not introduce any new requirements in the middle of the semester.

Assign work where the students will have to write about the material in your class. Several short narratives (5-10 sentenses) will work better than one long esay per semester. If their writing is not to your satisfaction, then make corrections (note that will be a lot of work for you if done properly) and ask the students to re-write and re-submit.

Make sure that the poor writing in the final version does not affect the class grade, but a failure to submit the work will affect the grade at least 1 notch.

Consider using one of the automated tools that detect plagiarism in student writing.

You should look into Writing across the curriculum. Even if you get no support from your school, there are things you can do as an individual instructor.

You should discuss your writing remediation plans with your "management" (assistant chair or someone "in charge" of your course) in advance, so they would not be surprised. You should not introduce any new requirements in the middle of the semester.

Assign work where the students will have to write about the material in your class. Several short narratives (5-10 sentences) will work better than one long essay per semester. If their writing is not to your satisfaction, then make corrections (note that will be a lot of work for you if done properly) and ask the students to re-write and re-submit.

Make sure that the poor writing in the final version does not affect the class grade, but a failure to submit the work will affect the grade at least 1 notch.

Consider using one of the automated tools that detect plagiarism in student writing.