This is a phrase that we are all very much familiar with but sometimes bristle at because it sounds so hard and difficult. In Hebrew the idea of end has a more positive thought or feeling. End means more like complete, full or perfect. We would endure to the end of the Plan of Happiness or Salvation in order to become perfect or better yet to complete our journey home to our Father in Heaven. Even the word for end in Hebrew has this connotation.
The word end in Hebrew is pronounced, kets and looks like this:
קץ
The first letter is the Qoph, ק , has the symbolical meaning of holiness.
The second letter is the Tsadee, ץ , and has the symbolical meaning of righteous or the desire to hunt for or become righteous.
Hence, our destiny or destination at the end of our life or the Plan of Salvation is to become holy and righteous, worthy to return to the presence of the Father and the Son. In other words, we complete the end of our life staying on the straight and narrow path so that we can become complete and perfect or holy and righteous by the power of the Atonement of Jesus Christ.
I do like the idea of enduring to the end as being our hunt for holiness.
According to 2 Nephi 31:17-18, we receive a remission of our sins through the baptism of fire and the Ghost. This is the GATE to the strait and narrow way to eternal life. It would be hard to conceive of this gate being at the end of our lives if it is how we get on the strait an narrow. We are purged of our sins through this baptism which is performed by Jesus Christ himself as described in 3 Nephi 12:1-4.
King Benjamin provided guidance to his people on how to ‘retain’ a remission of our sins. That seems to be where the endure part comes in.