Reading that as “one daily newspaper and one weekly newspaper”, that would be 6 (weeks) times at least (6 + 1) = 42 adverts in a newspaper (I can also read it as “2 public, one daily and one weekly”. That would increase the number of adverts). Price per advert would be about $25.
I guess most LLCs get incorporated in an at least somewhat large city, so the circulation of the paper will be somewhat high. $25 per advert then doesn’t sound that bad to me.
I know zilch of advertising prices, though, so let’s google it. Reading https://fitsmallbusiness.com/newspaper-advertising-costs/ (a link that google gave me, but that I don’t know the quality of), I see the price per “column inch” go down from about €18 to about €13 when you advertise more often.
⇒ it could well be that $1,000 is a fair price, giving the higher price you would have to pay and the amount of work you would have to do if you did it alone.
(Still seems a weird law, though. I can imagine that one should give people to object if your company will be noisy, stinky, or the like, but then, the city, IMO, should require a permit)