Answer:
[2] He faced insults and difficulties doing this; however, he was determined to continue making money, which he did.
Step-by-step explanation:
Considering the four sentences given in the question, we can see that these sentences all contain dependent and independent clauses except for sentence [2} which uses a conjunctive adverb "however". This sentence contains two independent clauses that are joined by the word "however".
Sentences [1], [3], and [4] all contain one dependent clause and one independent clause. But, sentence [2] contains two independent clauses "He faced insults and difficulties doing this" and "he was determined to continue making money, which he did". And these two independent clauses are joined by the conjunctive adverb "however', making it into one single sentence.
Thus, the correct answer is option/ sentence [2].