Yes, I am still confused with the sentences like ' to have' but not all the sentences related 'to have'. I can understand the sentences below:
I am happy to have been invited by him.
He was happy to have met Mr. Smith.
He was supposed to have married on 20 December.
You have to have made a reservation.
He must have been driven to despair to have killed her.
But I do not understand the sentences like:
It is considered normal for the people these days to have had some practical knowledge before joining some a new job.
It is better to have loved & lost than never to have lost at all.
I would have liked to have invited few people.
It would have been nice to have had great Bollywood presence. The most popular symbol of India.
The most popular symbol of India.
is not a complete sentence.