# Two general questions about log-normal distributions: shift and mixture

I have the two following questions:

1. Imagine I have two sets of observations, and both sets have a lognormal distribution. Now, given I look at the union of the two sets - is the distribution still a lognormal?

2. Given now I have again a set of observations with lognormal distribution. Given I add or subtract a scalar to $LogN(\mu, \sigma^2)$, what happens to each observation. Let's say I have a right shift of +2. Does that imply, that the value of each observation is bigger by 2?

Thanks