How long is the redemption period for an expired domain name and what is the best strategy for getting it?

I found a domain name that would be perfect for my needs.
It expired on June 16th and as of today still is not available to purchase.

How much longer might it take for it to be released for sale?
Does the time vary depending on which company it was registered with?

I also considered using a domain purchase service but won’t showing interest in it alert someone who will jack up the price?

I really cannot afford to pay much more than standard cost.

Any information on this topic is greatly appreciated.