I don't think it can, at least not very well.
Both guys need the ball in their hands A LOT in order to be productive enough to justify their contracts, and I think both guys are too similar in play style.
For example, 60.6% of Love's field goal attempts last season came from outside of 10 feet and 64.5% of Aldridge's field goal attempts came from outside of 10 feet.
Love took only 21.3% of his shots inside 3 feet, and Aldridge took only 19.2% of his shots within 3 feet.
I know people will blame Love's numbers on his role in Clevleand, but if you look at the season before that (his last one with Minny) he took 58% of his shots outside 10 feet, and only 25% of his shots came from inside 3 feet - not a very big difference at all really. Love has shown a clear trend lately of moving away from the paint, and playing a more perimeter oriented game.
Both guys have actually been pretty effective down low when they go there (Love has shot a decent 59.6% within 3 feet over his career, and Aldridge has shot a crazy 69.5%) - they just don't seem to have the desire to get physical and bang around down there.
Despite being fairly perimeter oriented, Love still got to the line pretty well, with a free throw rate of 33.7% last year. Aldridge (despite his better post game) actually got to the line far less, with a pretty average free throw rate of 25.6% last season. Neither guy is really that huge a threat in terms of putting pressure on an opposing teams interior defense.
Overall despite being very different guys physically (with Aldridge having the obvious advantage in terms of size and mobility) both have too similar a play style IMHO for them to work well together, so I'd actually much rather see a one of those two guys (preferably Aldridge) paired with Greg Monroe.
I have a few reasons for this:
1) Monroe lives inside the paint (92.2% of FGA inside 10 feet) so he's a perfect fit alongside a perimeter big like Love or Aldridge. Each guy can control his 'zone' while staying out of the other guy's way - it's a match made in heaven.
2) Of all three guys, Monroe puts the most pressure on an opposing team's defense. His free throw rate of 39.4% this season is borderline elite. For comparison reasons, Russell Westbrook had a free throw rate of 44%, and he's known as as one of the best in the league at drawing contact - so Monroe really does put a LOT of pressure on the defense.
3) He's the best rebounder of the three, with a Rebound rate of 17.9% compared to 16.6% (Love) and 15.5% (Aldridge). For comparison reasons our current best rebounder (Sully) had a rebound rate of 15.4%, so Monroe is a significant upgrade for us on the boards. This is especially impressive considering Monroe shared the court with Andre Drummond, who is probably one of the NBA's top 5 rebounders - that he STILL managed to pull down as many rebounds as he did says a lot about how much of a beast he is on the boards.
4) He's the best passer of the three, with an assist rate of 11.7% compared with 10.7% (Love) and 9.2% (Aldridge).
With Monroe's natural ability to dominate the paint offensively and on the boards, the other (either Love or Aldridge) would be completely free to play out on the perimeter. With either a Monroe/Love or Monroe/Aldridge combination we'd have complete inside-out domination on the offensive end of the floor, as well as one of best passing and rebounding front-lines in the NBA.
Our only weakness would be interior defense, but when you are dominating every other aspect of the game the way either of those front court combinations would, and when you have perimeter defense as good as ours (with Smart/Bradley/Crowder) rim protection becomes more of a luxury rather than a necessity.
I also think this is the most likely scenario of the three. If rumours are true we are one of Monroe's top 2 free agency destinations, so we have a VERY real chance of signing him outright. Then with Monroe added we would instantly see a major increase in the level of interest from other free agents like Aldridge and Love, who would suddenly become far more likely to explore sign-and-trade options to come here.
I'm loving the sound of this:
C: Greg Monroe, Tyler Zeller
PF: LaMarcus Aldridge (or Kevin Love), Jared Sullinger (or Kelly Olynyk)
SF: Evan Turner, Jae Crowder
SG: Avery Bradley, James Young
PG: Marcus Smart, Isaiah Thomas, Phil Pressey
With Brad Stevens as the coach, that's a legit contender assuming we can acquire Love or Aldridge in return for an offer of Brandon Bass, Gerald Wallace, Jared Sullinger (or Kelly Olynyk) and multiple draft picks.