1. I blew out the candles on the birthday cake.

2. I blew out the candle lights on the birthday cake.
3. I blew out the candlelights on the birthday cake.
[Which expression is grammatical? Can we use all of them? Which one is commonly used?]

Only #1 is used.

2 is redundant, and 3 is a misuse of "candlelight." Here's how to use "candlelight."

The memorial service was held in candlelight.
The candlelight service for Joe's mother was lovely.

Out of the three expressions provided, the grammatically correct and commonly used expression is:

1. I blew out the candles on the birthday cake.

This expression is correct because it uses the plural form "candles" to match the number of candles typically found on a birthday cake. It is the most commonly used form and accurately conveys the action of extinguishing multiple candles on the cake.

The other two expressions are not grammatically correct because they use a combination of singular and plural forms that do not match. "Candle lights" is incorrect because it combines the singular form "candle" with the plural form "lights." Similarly, "candlelights" is not a recognized word in English.

Therefore, to express the action of extinguishing the candles on a birthday cake, it is best to use the phrase "I blew out the candles on the birthday cake."