Hello,
Do you think that both of them can be used in the following sentences:
- My friend's birthday was approaching/was drawing near and I hadn't picked a present for him yet.
- The date of the election was approaching/drawing near.
- Winter was drawing near/approaching.
They both sound fine to me, but I have a preference for "draw near".

I don't think that "approach" would sound good in the last sentence and I don't know why.

What do you think?
Thank you in advance