Step 1: Understanding Deductive Arguments.
In deductive reasoning, an argument is valid if the conclusion necessarily follows from the premises. If the premises are true, the conclusion must also be true. A deductive argument is invalid if the conclusion does not logically follow from the premises.
Step 2: Analyzing the Options.
- 1. They can be valid or invalid: This is correct. Deductive arguments are evaluated based on whether the conclusion follows logically from the premises (valid or invalid).
- 2. They can be true or false: This is incorrect. The truth or falsity applies to the propositions (premises and conclusions), not to the validity of the argument itself.
- 3. They can be strong or weak: This applies to inductive arguments, not deductive ones. Deductive arguments are about validity, not strength.
- 4. They can be good or bad: This is not the proper terminology for evaluating deductive arguments. "Valid" or "invalid" is the appropriate assessment.
Step 3: Conclusion.
The correct answer is 1. They can be valid or invalid.
Final Answer:
\[
\boxed{\text{The correct answer is 1. They can be valid or invalid.}}
\]