[50] To a hidden time, into the age, of the age and into the age of the age

19 And he caught sight of a fig tree by the road and went to it, but he found nothing on it except leaves only, and he said to it: Let no fruit come from you anymore into the age [eivj to.n aivw/na]. And the fig tree withered instantly (Matthew 21). 

55 just as he told to our forefathers, to Abraham and to his seed, into the age [eivj to.n aivw/na] (Luke 1). 

KJVi But 2 he 1 that 3 shall blaspheme 4 against 5 the Holy 9 Ghost 7 hath 11 not 10 forgiveness 12 into the age  13 14 15, but 16 is 18 in danger 17 of indefinitely lasting 19 damnation 20
NWT However, whoever blasphemes against the holy spirit has no forgiveness into the age, but is guilty of indefinitely lasting sin. 
WHO o]j 1 d 2 a'n 3 blasfhmh,sh| 4 eivj 5 to .6 pneu/ma 7 to .8 a[gion 9 ouvk 10 e;cei 11 a;fesin 12 eivj 13 to.n 14 aivw/na 15 avlla 16 e;noco,j 17 evstin 18 aivwni,ou 19 a`marth,matoj 20 (Mark 3:29 Bible Linguistics).

32 On this account I say to you, Every sort of sin and blasphemy will be forgiven men, but the blasphemy against the spirit will not be forgiven. 
33 For example, whoever speaks a word against the Son of man, it will be forgiven him; but whoever speaks against the holy spirit, it will not be forgiven him, no, not in this system of things nor in that to come (Matthew 12). 

58 This is the bread that came down from heaven. It is not as when your forefathers ate and yet died. He that feeds on this bread will live into the age [eivj to.n aivw/na] (John 6)

So into the age [eivj to.n aivw/na] means throughout the age. 
Whereas aivwni,oj means literally of the age, which means until some time in that age which means until time indefinite. 

So 'into the age' sets a lower limit of one age and 'of the age' sets an upper limit of one age. 

The meaning of into the age is nicely demonstrated in John 11...

25 Jesus said to her: I am the resurrection and the life. He that exercises faith in me, even though he dies, will come to life [the sons of the 1AC get a resurrection in the last day, the 1,000 year sabbath of the kingdom];
26 and everyone that is living [judicially], and exercises faith in me will definitely not die into the age [this means do not die to the age, i.e. are not dead for the rest of the age. In other words either they do not die at all, or if they die, they are resurrected at some point during the balance of the age, in order that they are not dead to the rest of the age. This age is the world. We know that 1NC saints are resurrected not long after they have died sacrificially. This scripture is saying that all other saints are resurrected at least in time for the marriage of the lamb on 2008Nisan17, since the age of the world ended on 2008Nisan14]. Do you believe this? (John 11).

GLT and YLT have will definitely not die to the age - which captures the meaning.

GLT And everyone living and believing into Me shall not die to the age, never! Do you believe this? 
YLT and every one who is living and believing in me shall not die -- to the age; believest thou this? (John 11:26).

Then we have into the ages of the ages...

NWT to whom be the glory forever and ever. Amen. 
WHO w-| h` do,xa eivj tou.j aivw/naj tw/n aivw,nwn avmh,n (Galatians 1:5)

Into the ages of the ages means until the end of time or crudely forever and ever.

In the Hebrew things are more simple...

4 Jehovah has sworn and he will feel no regret: You are a priest to time indefinite ~l'A[l. [literally to a hidden time] According to the manner of Melchizedek! (Psalm 110).

6 Just as he says also in another place: You are a priest into the age [eivj to.n aivw/na] [i.e. throughout the age] according to the manner of Melchizedek. (Hebrews 5) 
20 where a forerunner has entered in our behalf, Jesus, who has become a high priest according to the manner of Melchizedek into the age [eivj to.n aivw/na] [i.e. throughout the age] (Hebrews 6)
17 for in witness it is said: You are a priest into the age [eivj to.n aivw/na] [i.e. throughout the age] according to the manner of Melchizedek (Hebrews 7)