What is the best way to rewrite the following sentence fragment?

Richard III supposedly had the young princes murdered. Never found out what really happened to them.

Research has never proven what caused their deaths.

In my opinion, you should rewrite it as:

Richard 111 supposedly had the young princes murdered, but people never found out what really happened to them.

some workers dug up the street near our house.Causing frequent vibrations inside. By evening, all the pitures on our walls were crooked.

To rewrite the given sentence fragment, "Richard III supposedly had the young princes murdered. Never found out what really happened to them," you can follow these steps:

1. Identify the main idea of the fragment: Richard III's alleged involvement in the murder of the young princes.
2. Combine the two sentences to form a coherent statement by using appropriate conjunctions and transitioning words. In this case, you can use "but" to indicate contrast and continuation.
3. Rearrange and rephrase the sentence to improve the flow and clarity of the message.
4. Add any additional information or context if necessary.

Using these guidelines, you can rewrite the sentence as:

"Richard III allegedly had the young princes murdered, but the truth of what really happened to them remains unknown despite extensive research."

This revision maintains the main idea of Richard III's alleged involvement while incorporating the information about the unknown truth and research efforts.